THANK YOU FOR YOUR PURCHASE!mrscloughmath.weebly.com/uploads/1/1/3/2/113277025/...Unit: Probability...

I hope that you find this resource helpful in your classroom. Please feel free to contact me with any questions as you implement this in your class.

Maneuvering the Middle is an education blog with valuable tips for lesson planning, teacher organization, and math concepts in the middle school classroom.

Print and copy this resource for your personal classroom use only.

Save this to both home and school computers.

Only post this only for students on a password protected class website.

Reproduce or distribute this resource to other colleagues.

Post this on the internet in any form, including classroom/personal websites, network drives, or other sharing websites (i.e. Amazon Inspire, etc).

PLEASE

/ManeuveringTheMiddle /maneuveringthem

@maneuveringthemiddle maneuveringthemiddle.com

PLEASE DO NOT

THANK YOU FOR YOUR PURCHASE!

PA G E O N E

©Maneuvering the Middle LLC, 2012-Present

Products by Maneuvering the Middle, LLC may be used by the purchaser for their classroom use only. This is a single classroom license only. All rights reserved. If you wish to share this product with your team or colleagues, you may purchase

additional licensing at a discounted rate.

CLIPART AND FONT ATTRIBUTION

Maneuvering the Middle resources include clipart and fonts from the following designers.

M A N E U V E R I N G T H E M I D D L E .C O M

PA G E T W O

PAGE TOPIC RESOURCE

4 Sample Pacing Guide

5-6 Ideas for Implementation and Helpful Hints

7-16 Binder Covers, Dividers, and Spine Labels

17-18 Intro to Simple Probability Student Handout 1

19 Intro to Simple Probability Homework 1

21-22 Experimental and Theoretical Probability Student Handout 2

23 Experimental and Theoretical Probability Homework 2

25-26 Sample Space Student Handout 3

27 Sample Space Homework 3

29-30 Simulations and Predictions Student Handout 4

31-32 Simulations and Predictions Homework 4

33-34 Probability Quiz Quiz 1

35-36 Independent Events Student Homework 5

37 Independent Events Homework 5

39-40 Dependent Events Student Handout 6

41 Dependent Events Homework 6

43-50 Probability Unit Study Guide Study Guide

51-52 Probability Unit Test Test

PROBABILITY UNITTable of Contents

©Maneuvering the Middle LLC, 2016

DAY 1 DAY 2 DAY 3 DAY 4 DAY 5

Intro to Simple Probability

Experimental and Theoretical Probability(Long-Run Relative Frequency)

Sample Space Simulations and Predictions

Probability Quiz

Student Handout 1Homework 1




Quiz 1

DAY 6 DAY 7 DAY 8 DAY 9 NOTES

Independent Events Dependent Events Probability UnitStudy Guide

Probability Unit Test



Unit Study Guide Unit Test


PROBABILITY PACING GUIDE

*NOTE: This file has been organized for double-sided printing. Any blank pages were left so intentionally to make printing easy.

Ideas for Implementation: This bundle has all of the notes, homework, quizzes, and tests to make your life easier and help your students to be successful with probability concepts. A sample pacing guide is included for those of you who do not have a district scope and sequence or if it is very general. Additionally, an answer key is included.

If you notice any discrepancies in the documents or have any questions, please email me at: [email protected].

STANDARDS7.SP.5 Understand that the probability of a chance event is a number between 0 and 1 that expresses the likelihood of the event occurring. Larger numbers indicate greater likelihood. A probability near 0 indicates an unlikely event, a probability around 1/2 indicates an event that is neither unlikely nor likely, and a probability near 1 indicates a likely event.

7.SP.6 Approximate the probability of a chance event by collecting data on the chance process that produces it and observing its long-run relative frequency, and predict the approximate relative frequency given the probability.

7.SP.7 Develop a probability model and use it to find probabilities of events. Compare probabilities from a model to observed frequencies; if the agreement is not good, explain possible sources of the discrepancy.

• 7.SP.7a Develop a uniform probability model by assigning equal probability to all outcomes, and use the model to determine probabilities of events.

• 7.SP.7b Develop a probability model by observing frequencies in data generated from a chance process.

7.SP.8 Find probabilities of compound events using organized lists, tables, tree diagrams, and simulation.

• 7.SP.8a Understand that, just as with simple events, the probability of a compound event is a fraction of outcomes in the sample space for which the compound event occurs.

• 7.SP.8b Represent for compound events using methods such as organized lists, tables, and tree diagrams. For an event described in everyday language, identify the outcomes in the sample space which composes the event.

• 7.SP.8c Design and use a simulation to generate frequencies for compound events.

PROBABILITYStudent Handouts


HELPFUL HINTS

A few ideas for organizing your curriculum and keeping things nice and neat:

Keep each unit in a separate binder and use the spine labels and covers to keep them looking nice and easy to find. I personally love 1.5” binders.


Student Handouts

BINDERS

I place my originals in page protectors in chronological order. Any extra copies from that lesson, I hole punch and place behind that page. When I need an extra or a student is missing something from weeeeeeeeks ago, I can simply pull out a copy.

PAGE PROTECTORS

I highlight the edges of my answer keys or if I am really good, print them on colored paper. It helps them to stand out and makes them easy to find on my desk, in a binder, by the document camera, etc. Plus, highlighter doesn’t show up if you make a copy.

ANSWER KEYS

Card stock in a page protector makes an awesome divider. When I set up my dividers, I include one for handouts, activities, assessments, and answer keys. Binder covers and spine labels have been included. J

CARD STOCK

Happy Teaching!

PROBABILITYs e v e n t h G r a d e C u r r i c u l u m

U n i t e l e v e n :

7 . s p . 5 7 . s p . 6 7 . s p . 7 7 . s p . 8

©MANEUVERINGTHEMIDDLE,2016

PROBA

BILI

TYs

ev

en

th

G

ra

de

C

ur

ric

ul

um

Un

it

e

le

ve

n:

7.s

p.5

7

.s

p.6

7

.s

p.7

7

.s

p.8

PROBA

BILI

TY

se

ve

nt

h

Gr

ad

e

Cu

rr

icu

lu

m

Un

it

e

le

ve

n:

7.s

p.5

7

.s

p.6

7

.s

p.7

7

.s

p.8

PROBA

BILI

TY

se

ve

nt

h

Gr

ad

e

Cu

rr

icu

lu

m

Un

it

e

le

ve

n:

7.s

p.5

7

.s

p.6

7

.s

p.7

7

.s

p.8



U n i t e l e v e n : a n s w e r k e y s



U n i t e l e v e n : A C T I V I T I E S



U n i t e l e v e n : A S S E S S M E N T S

1. Snowing when it’s 40oF outside

2. Burning your dinner if you cook it too long

3. Water boiling at 75oF

4. Getting a ticket if you are speeding

5. Scoring from a safety in a football game

6. A coin landing on heads when it is flipped

SIMPLE PROBABILITY

• Simple probability is the ratio of _________________ outcomes to the

_________________ number of outcomes.

Ex: P(A) =

COMPLEMENT• The probability of the event ___________ occurring is the complement.

• The probability of the event and its complement have a sum of _____.

Ex: P’(A) =

7. What is the probability of choosing a marble with stripes? What is the complement of choosing a marble with diamonds?

P(stripes) __________

P’(diamonds) __________

8. What is the probability of spinning a W? What is the complement of spinning a vowel?

P(W) __________

P’(vowel) __________

Probability is the ______________of an event happening and is expressed as a number

between _______and _______.

Label the terms on the number line: unlikely, equally likely, impossible, certain, and likely.

Name _____________________________________Date ______________________________Pd______

Unit: ProbabilityStudent Handout 1

INTRO TO SIMPLE PROBABILITY

Read each example and label the situation with one of the terms above.

0 1

A

P

FW

H

H

A


12

15. Students standing in line for lunch weresurveyed about their favorite meal. Their responses are shown below. If one student is picked randomly, then which of the following is true?

A. The student’s favorite meal is half as likely to be pizza than spaghetti.

B. The student’s favorite meal is more likely to be fajitas than pizza.

C. The student’s favorite meal is twice as likely to be spaghetti than pizza.

D. The student’s favorite meal is twice as likely to be fajitas than spaghetti.

9. A standard number cube is rolled. What isthe probability of rolling...

a 6? __________

a 5? __________

an odd number? __________

10. A laundry basket has 24 socks in it. Sixwere navy, 10 were black, and the remaining were white. What is the probability of drawing...

a black sock? __________

a white sock? __________

a navy sock? __________

11. The spinner below is spun. What is theprobability of spinning...

not a 6? __________

a 3 or a 4? __________

an odd number? __________

12. The letters in the word SOCCER are putinto a bag and drawn randomly. What is the probability of choosing...

a vowel? __________

a consonant? __________

the letter C? __________

13. At the pediatrician’s office, patients areable to draw a toy from the toy bin. The toy bin has 12 puzzles, 16 boxes of crayons, and 2 bouncy balls. What is the probability of drawing...

anything but a bouncy ball? __________

a box of crayons? __________

a puzzle? __________

14. In the movie drawer, there are sevenaction movies, five comedies, and three dramas. What is the probability of choosing...

a drama? __________

anything but a comedy? __________

an action? __________

Summarize today’s lesson:

Read each of the problems below and determine the probability of each outcome.

Answer the question below.

Meal Number of Students

Pizza 26

Spaghetti 8

Fajitas 16


Note: This is a strategy for moving information from short-to long-term memory. I usually ask students to write 2-3 sentences.

13. A refrigerator has a variety of drinks.The contents are shown below. If one drink is picked randomly, then which of the following is not true?

A. You are twice as likely to select a cola than a water.

B. You are half as likely to select a lemonade than a water.

C. You are more likely to select a cola than a water or a lemonade.

D. You are twice as likely to select a water than a cola.

Name _____________________________________Date ______________________________Pd______

Unit: ProbabilityHomework 1

Use the spinners below to determine the the probability of each of the events.

1.

P(red)

2.

P(green)

3.

P(blue or red)

4.

P(yellow orblue)

5.

P’(green)

6.

P’(purple)

7.

P(odds)

8.

P(evens)

9.

P(3)

10.

P(4 or 6)

11.

P’(7)

12.

P(1)

RED

BLUE

YELLOWYELLOW

PURPLE

GREEN

BLUE

Answer the question below.

Drink Quantity

Water 14

Cola 28

Lemonade 7


INTRO TO SIMPLE PROBABILITY

Name _____________________________________Date ______________________________Pd______


EXPERIMENTAL AND THEORETICAL PROBABILITY

1. Use the spinner below to answer the questions. Then, spin the spinner 10 times and complete the table below.

a. What is the theoretical probability of spinning a section with stripes?

b. What is the theoretical probability of spinning a section with stars?

c. What is the theoretical probability of not spinning a solid or a striped section?

TALLY TOTAL NUMBER OF SPINS

EXPERIMENTALPROBABILITY

STRIPES

WHITE

DOTS

STARS

EXPERIMENTAL PROBABILITY

• The ____________ of the number of _____________ an event occurs to

the_____________ number of trials

• “What _____________ happen?”

THEORETICAL PROBABILITY

• The _____________ of an event happening based on the possible

outcomes

• “What _____________ happen?”

2. Are there any results in which the theoretical and experimental probability are the same?

Why or why not?

_______________________________________________________________________________________

_______________________________________________________________________________________


RELATIVEFREQUENCY

• Relative frequency is the ___________________number of successful

attempts divided by the total number of trials. It can be used to make

___________________.

• As the number of trials increases, the relative frequency of an event

will approach the ___________________probability.


The spinner at right is spun 50 times, and the results are shown in the table below. Complete

the experiment below.

RESULT SPIN 50 TIMES

RELATIVE FREQUENCY

SPIN 100 TIMES

RELATIVE FREQUENCY

1 12

2 8

3 13

4 10

5 7

4. What is the theoretical probability of spinning each of the numbers?

P(1) ________ P(2) ________

P(3) ________ P(4) ________

P(5) ________

5. How does the relative frequency change between when the spinner is spun 50 times vs. 100 times?

___________________________

___________________________

___________________________

___________________________

___________________________

___________________________

6. Suppose the spinner is spun 1,000 times. Predict the relative frequency of each spin.

P(1) ________ P(2) ________

P(3) ________ P(4) ________

P(5) ________

3. What did you notice as you spun the spinner 100 times? What patterns did you discover?


1. In the media cabinet at Jacquelyn's house, there are 7 comedy DVDs, 4 mystery DVDs, and 4 documentary DVDs. What is the probability of randomly selecting a mystery DVD from the cabinet?

DVDs: __________

2. Ms. Mitchells’ coin purse has 20 coins. There are 6 pennies, 4 quarters, 3 dimes, and the remainder are nickels. What is the theoretical probability of randomly selecting a nickel from Ms. Mitchells’ coin purse?

coins: __________

3. The spinner below is spun 10 times. If the experimental probability of landing on a 3 is 12, then what is the difference between the

experimental and the theoretical probabilities?

spinner: __________

4. The following cards are used in a game.If each of the cards is turned over and shuffled, then how much of a greater chance is there in drawing a spade over drawing a 7?

cards: __________

5. A fair coin is tossed in the air four times. If the experimental probability of landing on

tails is 14, then what is the difference

between the experimental and theoretical probability?

coins: __________

6. During a team building game, participants reach into a bag and randomly select a colored flag, which determines their team. If there are 7 green flags, 5 red flags, and 3 yellow flags, then what is the theoretical probability of selecting a red flag?

flags: __________

Name _____________________________________Date ______________________________Pd______

©M

aneuveri

ng t

he M

iddle

LLC

, 2016

Read and answer each of the questions below. Use the number bank to help you check your solutions. Not all numbers will be used.

EXPERIMENTAL AND THEORETICAL PROBABILITY


🂡🂩🂲🃁🂭🃗

415

451

413

720

815 1

2

16 1

3

SAMPLE SPACE

• The sample space describes all of the possible _______________ of an

event.

• Sample space can be _______________ with lists, tables, or tree diagrams

to determine the probability of _____________ or _______________ events.

Name _____________________________________Date ______________________________Pd______


SAMPLE SPACE


1. The New England Patriots and the Dallas Cowboys are playing. What are the possible outcomes of the game?

2. A number cube is rolled. What are the possible outcomes?

LIST

OR

TABL

E

3. For breakfast Jamie can choose from cereal, eggs, or a muffin. She also can drink coffee, orange juice, or milk. What are all the possible outcomes? How manytotal outcomes are possible?

4. At registration a student can select from Spanish or German class, as well as Art, Music, or Theater. What are all the possible outcomes? How many total outcomes are possible?

TREE

DIA

GRAM

5. A fair coin is tossed three times. What are all the possible outcomes? How many total outcomes are possible?



Create a list. Then, use the information to answer the question.

6. Amanda will roll a number cube and flip a coin. If Amanda rolls the number cube once and flips the coin once, then what are the possible outcomes in which the number cube lands on an odd number?

7. The two spinners below are spun at the same time. What are all the possible outcomes of the two spins?

Create a tree diagram. Then, use the information to answer the question.

8. A clothing line has shirts in red, blue, or white and pants in gray or khaki. How many different combinations can be made with the clothing line?

9. When buying a car, Esther can choose a 2-door or 4-door car with leather or cloth interiors in black, silver, or white. How many different combinations can be made with the car options?

10. Sergio tossed a two sided red and yellow counter chip. Create a tree diagram to represent all of the possible outcomes for the coin landing on red or on yellow.

1 2

4. Sketch a tree diagram to represent the sample space of flipping each of the following coins once.

5. Jason is ordering a kids meal. He can choose from the following:

• Chicken nuggets, burger, hot dog• Apple juice or milk• French fries or fruit

The list below shows some of the possible outcomes. List the missing possible outcomes below.

Chicken nuggets, apple juice, French friesChicken nuggets, apple juice, fruitChicken nuggets, milk, French friesChicken nuggets, milk, fruitBurger, apple juice, French friesBurger, milk, French friesBurger, apple juice, fruitHot dog, apple juice, French friesHot dog, milk, French friesHot dog, milk, fruit

___________________________________

___________________________________

6. Tyra will flip a red and yellow counter and spin a spinner labeled A-E. If Tyra flips the counter and spins the spinner, then list only the outcomes in which a red counter and a vowel are spun.

Name _____________________________________Date ______________________________Pd______



1. Sketch a tree diagram to represent the sample space.

2. How many different combinations are possible?

3. Which list contains all of the possible outcomes in which the number cube lands on a number less than 4?

1, heads1, tails2, heads2, tails3, heads3, tails

SAMPLE SPACEThe number cube is rolled and a coin is tossed. Answer the questions below.

Answer the questions below.

1, heads2, heads3, heads4, heads

1, tails2, tails3, tails

5. Mr. and Mrs. Pinkerton have four boys. Every time people notice this they comment about the odds of this happening. The Pinkertons decide to set up a simulation with 10 trials to determine the probability.

a. What simulation could be used to represent the likelihood of having a boy or a girl?

b. Which outcome represents having a boy? Which outcome represents having a girl?

c. How should the simulation be designed in order to account for four different children?

_____________________________________________________________________________________

_____________________________________________________________________________________

____________________________________________________________________________________

SIMULATIONS

• In order to obtain the probability of various events, a simulation is often

conducted. It allows us to represent the _______________ of a real-life

event occurring by using an experiment with __________________________.

• This method is used by researchers when it is difficult to collect

experimental data or when the theoretical probability is unknown.

Ex: _________________________________________________________________

_____________________________________________________________________

Name _____________________________________Date ______________________________Pd______


SIMULATIONS AND PREDICTIONS

Brainstorm a simulation that could represent the same probability as the following situations.

1. On a multiple choice question, there is a 25% chance of getting the answer correct.

2. The weather report shows that there is a 50% chance of rain.

3. An average basketball player makes 66% of his free throws.

4. There is an equally likely chance that a baby is a boy or a girl.

Use a simulation to determine the likelihood of each event occurring.


MAKING PREDICTIONS

• Probability can be used to make predictions for ____________________

occurrences by setting up and solving a proportion.

Ex: The probability of rolling a six on a number cube is16. If the number

cube is rolled 50 times, then approximately how many times will a six be

rolled?


Read each scenario below and make a prediction

based on the information given.

6. Kinsey surveyed a random group of 7th graders as to whether they preferred video games, sports, or neither. Use the survey results to make predictions for the entire 7th grade class with 350 students.

Activity Number of Students

Video Games 15

Sports 22

Neither 3

a. What is a reasonable prediction for the total number of 7th graders that prefer video games?

b. Based on the information in the table, what isthe most reasonable prediction of the number of votes for video games in the next 80 votes?

7. When you send mail via the post office, you have an 80% chance that it is delivered to the correct location.

a. If 430 letters are delivered on Monday, then what is a reasonableprediction for the number of letters that are delivered to the incorrect location?

b. On Tuesday, it is reported that 500 letters were delivered to the correctlocation. Based on this information, how many letters were delivered on Tuesday?


Name _____________________________________Date ______________________________Pd______


_________ ________________________

1

A fast food chain surveyed a random sample of students to determine what pizza they prefer. Cheese pizza was preferred by 40 students. Pepperoni pizza was preferred by 28 students. Based on the results, how many of the 340 students can be expected to prefer cheese pizza?

2

On the subway 8 out of 11 people are carrying a briefcase. Based on this information, if there are 700 people on the subway, then about how many do not have a briefcase?

3

Suppose a coin is flipped 10,000 times. What is a reasonable prediction for the number of times the coin lands on tails?

4

On a youth soccer team 3 out of 12 team members have played in previous years. Based on this information, if 150 kids are in the youth soccer league, then how many could be expected to have played the year before?

WHAT KIND OF MEALS DO MATH TEACHERS EAT?

P: 76 Q: 20 C: 2,000 D: 96 B: 142

E: 191 R: 42 G: 18 S: 5,000 A: 200

T: 25 U: 15 L: 40 M: 38 H: 509

3 5 7 1 8 2 4 2 1 6 3

Use the information to make predictions. Then, match the final answer to the letter below. Write the letter in the blank.

5

A box of 25 light bulbs is shipped to a hardware store. When it arrives, four of the bulbs are broken. Predict the number of broken light bulbs in an order of 125 bulbs.

6

The airport security randomly selected 36 suitcases from the security line. Of these bags, they screened 8 suitcases. Based on this information, what is the most reasonable prediction for the number of suitcases they will screen in a group of 180?

7

In a game the player wins if he rolls a 6 on a number cube. If the number cube is rolled 18 times, then what is a reasonable prediction for the number of unsuccessful rolls?

8

A container of beads contains: 8 red beads, 6 yellow beads, and 6 green beads. A bead will be drawn from the basket and replaced 60 times. What is a reasonable prediction for the number of times a green or red bead is drawn?


SIMULATIONS AND PREDICTIONS

Using your knowledge of simulations to answer the questions below.

9. Eastside Middle School has 75% student participation in the fall carnival. Determine which of the simulations below could model the probability of a student participating.

______ rolling a number cube, where rolling an odd number represents students who participate in the fall carnival

______ spinning a spinner with the equal sections marked with the letters A-E, where spinning a vowel represents students who participate in the fall carnival

______ spinning a spinner with four equal sections, where spinning anything but 1 represents students who participate in the fall carnival

10. A PE teacher divides the class evenly for a game of kickball. If the likelihood of being on Team Eagles and Team Jaguars is the same, then describe a simulation that could represent the team assignment for next 10 students in PE class.

___________________________________________

___________________________________________

___________________________________________

11. There is a 10% chance of rain tomorrow. A spinner with 10 sections is spun to simulate the probability of rain, where spinning a 1 indicates rain. If the results are 3, 6, 1, 8, and 3, then what is the difference in the experimental probability from the simulation and the prediction?


Name _____________________________________Date ______________________________Pd______

Unit: ProbabilityQuiz

QUIZ: PROBABILITYUse the following information to answer questions 1 – 3.

1. What is the probability of randomly selecting a red shirt?

2. What is the probability of not selecting a white shirt?

3. What is the probability of selecting a green shirt?

Use the table below to answer questions 4 – 6.

Answers

1. ______________

2. ______________

3. ______________

4. ______________

5. ______________

6. ______________

7. ______________

8. ______________

9. _____________

10. _____________

DRAW 1 DRAW 2 DRAW 3 DRAW 4 DRAW 5 DRAW 6 DRAW 7 DRAW 8 DRAW 9 DRAW 10

NAME Ella Jake Alex Alex Jake Joey Alex Ella Alex Jake

4. What is the theoretical probability of selecting the name Joey?

5. What is the experimental probability of selecting the name Alex?

6. If the experiment was repeated 1,000 times, then how many times could you expect to draw Ella’s name?

A. 200 B. 250 C. 400 D. 320


A laundry basket has 24 t-shirts in it. Four are navy, 12 are red, and the remaining are white.

Mrs. Irons places the names of each of her four children in a hat at one time. She randomly draws a name, places it back in the hat,

and draws again. The results are shown in the table below.

7. At a school assembly four out of the first 10 students were wearing spirit wear. Based on this information, if 500 students were at the assembly, then how many students could be expected to be wearing spirit wear?

8. Each spinner shown below will be spun one time. Which of the following tree diagrams shows all of the possible outcomes when each spinner is spun once?

A.

B.

C.

D.

9. Joy can choose to ride the bus, the subway, or take a taxi to travel to work on Monday and Tuesday. Which list shows all the possible outcomes of one day and one method of travel?

A. B.

C. D.

10. The airport security randomly selected 24 suitcases from in the security line. Of these bags, they screened 7 suitcases. Based on this information, what is the most reasonable prediction for the number of suitcases they will screen in a group of 144?

Answer the questions below. Be sure to show work and justify your thinking.

1

A

B

C

D

2

A

B

C

D

A

1

2

1

2

B

1

2

1

2

C

1

2

1

2

D

1

2

1

2

A

1 1

B

2 2

C

1 1

D

2 2

1

A A

2

B B

3

A A

4

B B

Monday, BusTuesday, TaxiMonday, SubwayTuesday, BusMonday, SubwayTuesday, Taxi

Monday, BusMonday, SubwayMonday, TaxiTuesday, BusTuesday, SubwayTuesday, Taxi

Bus, TaxiBus, SubwayTaxi, BusTaxi, SubwaySubway, TaxiSubway, Bus

Monday, BusMonday, SubwayMonday, TuesdayTuesday, BusTuesday, SubwayTuesday, Monday


1 2A

DC

B

Name _____________________________________Date ______________________________Pd______


INDEPENDENT EVENTSReview the process for multiplying fractions.

In a board game, students draw a card, replace it, and then draw a second card. Determine the probability of each event.

1. To earn 50 points, a student must draw a heart-eyed card and then an angel card.

2. To earn 20 points, a student must draw a sleeping card and then an angry card.

3. To earn 15 points, a student must draw an angry card or a laughing card and then an angel.

4. To earn 5 points, a student must draw a sleeping card or a heart-eyed card and then an angry card.

heart-eyed angel

=�

sleeping angry

=�

angry or laughing angel

=�

INDEPENDENTPROBABILITY

• When the outcome of one event _________________ impact the outcome

of the second event, the events are called __________________.

• Independent probability can be determined by multiplying the probability

of each event happening, or P(A and B) = _______ � _______

12·34

=18·45

=29·35

=

sleeping or heart-eyed angry

=�


Use your understanding of probability and independent events to answer the questions below.

Play tic-tac-toe with your neighbor. Xs __________________ Os _______________

Carefully read each problem and solve.


Kylee has a coin and a number cube. She flips the coin once and rolls the number cube once. What is the probability that the coin lands tails-up and the cube lands on a 4?

There are six marbles in a bag. Three are green, and three are yellow. If you draw a marble, replace it, and then draw another, then what is the probability of choosing two yellow marbles?

One card from a deck of cards is selected, it is replaced, and another card is chosen. What is the probability that the first card is a red card and the second is a diamond?

What is the probability of flipping three heads in a row?

Neil goes to the pet shop and selects a treat for his dog. He chooses one, returns it to the bunch, and then chooses another. What is the probability that Neil selects a bone and then a collar?

Dexter has four different coins in his pocket. He randomly selects a coin from his pocket, replaces it, and selects another coin. What is the probability that both coins are dimes?

The letters of the alphabet are written on cards and placed in a brown paper bag. What is the probability of drawing a vowel, replacing it, and then drawing another vowel?

Two number cubes are rolled sequentially. What is the probability that the first number cube shows a two or a three and the other number cube shows an even number?

Mackenzie chooses one candle, returns it to the bunch, and then chooses another candle. What is the probability that Mackenzie selects a polka dot candle both times?


10. Mrs. Williams has a prize box with different colored tickets. Each ticket results in a different type of prize.

• 3 green tickets• 4 yellow tickets• 3 purple tickets

Pedro will randomly select a ticket, replace it, and then select another ticket. What is the probability that he chooses a yellow ticket and then a purple ticket?

A. 325

B. 215

C. 425

D. 720

Name _____________________________________Date ______________________________Pd______


Use the details about the car dealership to answer the questions below.

A car dealership has various combinations of vehicles in their car lot, all of which have an equally likely chance of being selected. Use the list of options below to determine the probability of each vehicle being selected.

1. Selecting an SUV with a blue exterior

2. Selecting a black vehicle with a leather interior

3. Selecting a sedan with cloth interior

4. Selecting a red or blue SUV

5. Selecting a truck that is not silver

6. Selecting a silver vehicle with cloth interior

7. Selecting an SUV or a truck that is red or black with cloth interior

8. Selecting a sedan with cloth interior that is not red

9. Selecting a truck that is black or blue and has leather interior

VEHICLESEDAN

SUVTRUCK

EXTERIORREDBLUE

SILVERBLACK

INTERIORLEATHERCLOTH

INDEPENDENT EVENTS

Choose the best answer below for question 10.


_________________ 1. Flipping two coins results in one landing on heads and one landing on tails.

_________________ 2. The captain of the football team is selected and then the co-captain is selected.

_________________ 3. You draw a joker from a deck of cards, and then you draw an ace.

_________________ 4. You draw a queen from a deck of cards, replace it, and then draw a 10.

_________________ 5. A coin is flipped and a number cube is rolled.

Name _____________________________________Date ______________________________Pd______



When the outcome of one _________________ impacts the _________________ of

another, it is a dependent event.

Use your understanding of independent events and dependent events to answer the questions below.

6. Neil goes to the pet shop and selects a treat for his dog. He chooses one and then chooses another. What is the probability that Neil selects a bone and then a ball?

7. Mackenzie chooses one candle and then chooses another candle. What is the probability that Mackenzie selects a polka dot candle both times?

Read each situation below and determine if it is an independent or a dependent event.

bone ball

=�

INDEPENDENTPROBABILITY P(A and B) = _______ � _______

DEPENDENTPROBABILITY P(A and B) = _______ � __________________

=�

DEPENDENT EVENTS


Read each situation carefully. Determine if the events are independent or dependent and find the probability of the events occurring.

Mrs. Moore is doing laundry and has various pieces of clothing in her laundry basket.

8. What is the probability of selecting a top and then selecting a bottom?

9. What is the probability of selecting a striped sock, replacing it, and then selecting another striped sock?

10. What is the probability of selecting a towel, replacing it, and then selecting another towel?

11. What is the probability of selecting a skirt and a top one choice after another?

12. What is the probability of selecting a matching pair of solid socks one choice after another?


10. Harmony places the letters in the word DECEMBER into a bag. A letter will be randomlyselected and not replaced. Then another letter will be selected. What is the probability of Harmony selecting a C and then an E?

A. 48

B. 356

C. 664

D. 18

Name _____________________________________Date ______________________________Pd______


Use the details about the game to answer the questions below.

In a board game, students draw a number, do not replace it, and then draw a second number. Determine the probability of each event occurring.

1. Drawing an odd number, then drawing a 6

2. Drawing a 2, then drawing another 2

3. Drawing a number divisible by 3, then drawing a 1

4. Drawing a 1, then drawing a 6

5. Drawing a prime number, then drawing a composite number

6. Drawing a 9, then drawing another 9

7. Drawing a 9, then drawing a number divisible by 1

8. Drawing an even number, then drawing 1

9. Drawing a 6, then drawing an odd number

1 6 6 9 2 1 6 2

DEPENDENT EVENTS

Choose the best answer below for question 10.


Name _____________________________________Date ______________________________Pd______

Unit: ProbabilityReview - CCSS

Solve each of the problems below. These represent the types of questions on your test. Be sure

to ask questions if you need more help with a topic.

I CAN EXPRESS THE LIKELIHOOD OF AN EVENT OCCURRING. 7.SP.5

1. Bills are due on the 32nd of the month. 2. It will rain if there is thunder.

3. Scoring a touchdown will result in 6 points 4. If you do your homework your grades will

improve.

©M

aneuveri

ng t

he M

iddle

LLC

, 2016

PROBABILITY UNIT STUDY GUIDE

I CAN DETERMINE THE PROBABILITY OF SIMPLE EVENTS. 7.SP.6

5. There are three different colored M&Ms –red, green, and white. The probability of

selecting a red M&M is 25, and the probability

of selecting a green M&M is 14, so what is the

probability of selecting a white M&M?

6. The letters in the word JANUARY are put into a bag and drawn randomly. What is the probability of an A?

7. In Mr. Martinez’s sixth period class, there are 8 boys and 12 girls. What is the probability of randomly selecting a girl?

8. The weather report says there is a 30% chance of rain. What is the probability that it does not rain?

9. The numbers 1 -12 are written on a card and placed in a bag. What is the probability that a number divisible by 3 is drawn?

10. In the movie drawer there are seven action movies, five comedies, and three dramas. What is the probability of choosing an action or a comedy?

I CAN USE RELATIVE FREQUENCY TO MAKE PREDICTIONS ABOUT PROBABILITY. 7.SP.6

11. A basket of beads contains: 8 red beads, 6 yellow beads, and 6 green beads. A bead will be drawn from the basket and replaced 60 times. What is a reasonable prediction for the number of times a green bead is drawn?

12. A bag contains a total of 100 black and white marbles. Without looking a marble is chosen, recorded, and placed back in the bag. The student records 8 black marbles and 2 white marbles. Predict the number of black marbles in the bag.

13. On a youth soccer team 3 out of 12 team members have played in previous years. Based on this information, if 180 kids are in the youth soccer league, then how many could be expected to have played the year before?

I CAN DETERMINE THEORETICAL AND EXPERIMENTAL PROBABILITY 7.SP.7

14. The list below shows the different choices of pizza at the local pizza shop:

• pepperoni: 11• supreme: 7• cheese: 6• Hawaiian: 3

Based on these results, what is the theoretical probability of choosing a Hawaiian pizza?

15. Each week in the library Mrs. Hoskins features popular books in the display. This week includes:

• 3 mystery books• 4 biographies• 6 sci-fi books• 2 dystopian society books

Jack randomly choose one book to read. What is the theoretical probability that it is a biography?

A bag of marbles includes only green and red marbles. The results of an experiment are shown in the table below.

16. What is the experimental probability of selecting a green marble?

17. What is the experimental probability of selecting a red or a green marble?



NAME Green Red Green Red Green Green Red Green Green Green

I CAN CREATE LISTS, TABLES, AND TREE DIAGRAMS TO REPRESENT COMPOUND EVENTS. 7.SP.8

18. At a pizza shop, you can choose thick or thin crust, red or white sauce, and toppings of pepperoni, cheese, or vegetarian. Create a tree diagram to display the sample space.

19. A coin is flipped, and a standard number cube is rolled. Create a list to represent the sample space for the coin landing on tails and rolling an odd number.

20. A school requires students wear uniforms. They can choose from the following options. How many total choices does a student have?

21. Joy can choose to ride the bus, walk, or carpool to school on Thursday and Friday. Create a tree diagram to display the sample space.

©M

aneuveri

ng t

he M

iddle

LLC

, 2016

I CAN DETERMINE THE PROBABILITY OF INDEPENDENT AND DEPENDENT EVENTS. 7.SP.8

22. Four coins are flipped. What is the probability of the coins all landing heads up?

23. The letters of the alphabet are written on cards and placed in a brown paper bag. What is the probability of drawing a consonant, replacing it, and then drawing a Z?

24. One card from a deck of cards is selected, it is replaced, and another card is chosen. What is the probability that the first card is a black card and the second is a red card?

25. Daniel drew a toy from the treasure chest with 25 different toys. He selected a bouncy ball, replaced it, and then selected the bouncy ball again. What is the probability that this could occur?

CARDIGAN POLO BOTTOM

GRAY

NAVY

WHITE

NAVY

MAROON

BLACK

KHAKI

NAVY


I CAN DETERMINE THE PROBABILITY OF INDEPENDENT AND DEPENDENT EVENTS. 7.SP.8

26. Derek is selecting a sock from his drawer. He chooses a sock at random and then selects a second sock at random. What is the probability that Derek selected a striped sock both times?

27. A box of granola bars contains 3 chocolate chip bars, 2 peanut butter bars, 1 lemon bar, and 4 raisin bars. Iesha will randomly select a granola bar from the box and then select another bar. What is the probability that the first bar Iesha selects will be lemon and the second will be raisin?

28. The spinner below is spun twice. What is the probability of the the arrow landing on a white space and then a space with stars?

29. A school requires students to wear uniforms. They can choose from the following options. If a student randomly selects one item from each clothing category, then what is the probability they will be wearing all navy?

I’VE GOT IT!What concepts can I ace on the test?

HELP!What concepts do I need to study?


GRAY

NAVY

WHITE

NAVY

MAROON

BLACK

KHAKI

NAVY

Name _____________________________________Date ______________________________Pd______

Unit: ProbabilityReview

Solve each of the problems below. These represent the types of questions on your test. Be sure

to ask questions if you need more help with a topic.

I CAN EXPRESS THE LIKELIHOOD OF AN EVENT OCCURRING.

1. Bills are due on the 32nd of the month. 2. It will rain if there is thunder.

3. Scoring a touchdown will result in 6 points 4. If you do your homework your grades will

improve.

©M

aneuveri

ng t

he M

iddle

LLC

, 2016

PROBABILITY UNIT STUDY GUIDE

I CAN DETERMINE THE PROBABILITY OF SIMPLE EVENTS.

5. There are three different colored M&Ms –red, green, and white. The probability of

selecting a red M&M is 25, and the probability

of selecting a green M&M is 14, so what is the

probability of selecting a white M&M?

6. The letters in the word JANUARY are put into a bag and drawn randomly. What is the probability of an A?

7. In Mr. Martinez’s sixth period class, there are 8 boys and 12 girls. What is the probability of randomly selecting a girl?

8. The weather report says there is a 30% chance of rain. What is the probability that it does not rain?

9. The numbers 1 -12 are written on a card and placed in a bag. What is the probability that a number divisible by 3 is drawn?

10. In the movie drawer there are seven action movies, five comedies, and three dramas. What is the probability of choosing an action or a comedy?

I CAN USE RELATIVE FREQUENCY TO MAKE PREDICTIONS ABOUT PROBABILITY.

11. A basket of beads contains: 8 red beads, 6 yellow beads, and 6 green beads. A bead will be drawn from the basket and replaced 60 times. What is a reasonable prediction for the number of times a green bead is drawn?

12. A bag contains a total of 100 black and white marbles. Without looking a marble is chosen, recorded, and placed back in the bag. The student records 8 black marbles and 2 white marbles. Predict the number of black marbles in the bag.

13. On a youth soccer team 3 out of 12 team members have played in previous years. Based on this information, if 180 kids are in the youth soccer league, then how many could be expected to have played the year before?

I CAN DETERMINE THEORETICAL AND EXPERIMENTAL PROBABILITY



Based on these results, what is the theoretical probability of choosing a Hawaiian pizza?

15. Each week in the library Mrs. Hoskins features popular books in the display. This week includes:

• 3 mystery books• 4 biographies• 6 sci-fi books• 2 dystopian society books

Jack randomly choose one book to read. What is the theoretical probability that it is a biography?

A bag of marbles includes only green and red marbles. The results of an experiment are shown in the table below.

16. What is the experimental probability of selecting a green marble?

17. What is the experimental probability of selecting a red or a green marble?



NAME Green Red Green Red Green Green Red Green Green Green

I CAN CREATE LISTS, TABLES, AND TREE DIAGRAMS TO REPRESENT COMPOUND EVENTS.

18. At a pizza shop, you can choose thick or thin crust, red or white sauce, and toppings of pepperoni, cheese, or vegetarian. Create a tree diagram to display the sample space.

19. A coin is flipped, and a standard number cube is rolled. Create a list to represent the sample space for the coin landing on tails and rolling an odd number.

20. A school requires students wear uniforms. They can choose from the following options. How many total choices does a student have?

21. Joy can choose to ride the bus, walk, or carpool to school on Thursday and Friday. Create a tree diagram to display the sample space.

©M

aneuveri

ng t

he M

iddle

LLC

, 2016

I CAN DETERMINE THE PROBABILITY OF INDEPENDENT AND DEPENDENT EVENTS.

22. Four coins are flipped. What is the probability of the coins all landing heads up?

23. The letters of the alphabet are written on cards and placed in a brown paper bag. What is the probability of drawing a consonant, replacing it, and then drawing a Z?

24. One card from a deck of cards is selected, it is replaced, and another card is chosen. What is the probability that the first card is a black card and the second is a red card?

25. Daniel drew a toy from the treasure chest with 25 different toys. He selected a bouncy ball, replaced it, and then selected the bouncy ball again. What is the probability that this could occur?


GRAY

NAVY

WHITE

NAVY

MAROON

BLACK

KHAKI

NAVY


I CAN DETERMINE THE PROBABILITY OF INDEPENDENT AND DEPENDENT EVENTS.

26. Derek is selecting a sock from his drawer. He chooses a sock at random and then selects a second sock at random. What is the probability that Derek selected a striped sock both times?

27. A box of granola bars contains 3 chocolate chip bars, 2 peanut butter bars, 1 lemon bar, and 4 raisin bars. Iesha will randomly select a granola bar from the box and then select another bar. What is the probability that the first bar Iesha selects will be lemon and the second will be raisin?

28. The spinner below is spun twice. What is the probability of the the arrow landing on a white space and then a space with stars?

29. A school requires students to wear uniforms. They can choose from the following options. If a student randomly selects one item from each clothing category, then what is the probability they will be wearing all navy?

I’VE GOT IT!What concepts can I ace on the test?

HELP!What concepts do I need to study?


GRAY

NAVY

WHITE

NAVY

MAROON

BLACK

KHAKI

NAVY

Name _____________________________________Date ______________________________Pd______

Unit: ProbabilityTest

Solve the problems below. Be sure to show your thinking.

©M

aneuveri

ng t

he M

iddle

LLC

, 2016

1. What is the probability of randomly selecting an odd number from the numbers 1 -15?

________

2. Twelve students have an equally likely chance of being selected in a drawing at school. Eight are girls and four are boys. What is the probability that a boy will be selected?

________

3. A number cube is rolled. What is the likelihood that a number less than or equal to three is rolled?

A. unlikelyB. equally likelyC. likelyD. certain

4. Marty can go to one movie on either Friday or Saturday. His choice of movies includes a comedy or an action movie. Which list shows all of the possible outcomes of one movie on one day?

A. B.

C. D.

5. A coin is flipped and a standard number cube is rolled. Create a tree diagram to represent the sample space.

6. In a game the player wins if he rolls a 4 on a number cube. If the number cube is rolled 24 times, then what is a reasonable prediction for the number of unsuccessful rolls?

________

7. Which of the following has a certain likelihood of occurring?

A. A field goal will be made by the kicker

B. There is a 70% of rain on Monday

C. Next month has at least 29 days

D. A coin will land on either heads or tails

8. Two coins are flipped. What is the probability that both of the coins land heads up?

________

9. At a school assembly 3 out of the first 10 students were wearing spirit wear. Based on this information, if 400 students were at the assembly, then how many students could be expected to be wearing spirit wear?

________

10. There are five marbles in a bag. Three are green and two are yellow. You draw a marble, replace it, and then draw another. What is the probability of choosing two yellow marbles?

________

PROBABILITY UNIT TEST

Comedy, FridayComedy, SaturdayAction, FridayAction, Saturday

Comedy, FridayAction, Friday

Action, FridayAction, Saturday

Comedy, ActionAction, ComedyFriday, SaturdaySaturday, Friday

Solve the problems below. Be sure to show your thinking.

11. Two number cubes are rolled sequentially. What is the probability that the first number cube shows a five and the other number cube shows an even number?

________

12. There are five marbles in a bag. Three are green, and two are yellow. You draw a marble, do not replace it, and then draw another. What is the probability of choosing two yellow marbles?

________

13. The letters in the word AUGUST are placed into a bag. What is the probability of selecting a U?

________

14. The spinner below is spun twice. What is the probability of the arrow landing on a 3 and then on an odd number?

________

15. Daniel is selecting a sock from his drawer. He chooses a sock at random, does not replace it, and then selects a second sock at random. What is the probability that Daniel selected a solid sock both times?

________



Based on these results, if 189 pizzas were sold, then how many could be expected to be cheese?

_____________________

17. Michael has a set of five cards shown

below. Michael will randomly select a card, not

replace it, and then select another card. What

is the probability that he selects a prime

number and then a 1?

________

A spinner with 5 equal sections labeled 1 -5 is spun 50 times. The results are shown in the table. Use the table below to answer questions 18 - 20.

18. What is the theoretical probability of spinning an even number?_____

19. What is the experimental probability of spinning a 1?_____

20. What is the experimental probability of spinning an even number?_____

RESULTSPIN 50

TIMES

1 12

2 8

3 13

4 10

5 7

1 432 5


THANK YOU FOR YOUR PURCHASE!mrscloughmath.weebly.com/uploads/1/1/3/2/113277025/...Unit: Probability...

Documents

Transcript of THANK YOU FOR YOUR PURCHASE!mrscloughmath.weebly.com/uploads/1/1/3/2/113277025/...Unit: Probability...