Supplemental Algebra Name:___________________________________Miss Sciandra/ Mrs. Britton Date:__________ Period:_________

There are approximately 440 m&m’s in a 14oz bag of m&m’s. The colors are distributed below:

Orange- 95 Red- 60 Green- 65

Yellow- 70 Brown- 55 Blue- 95

You draw one m &m from the bag…

1. Which Color M&M is least likely to be drawn from the bag?

2. What is the probability of drawing a yellow M&M?

3. What is the probability of drawing a blue M&M?

4. What is the probability of drawing a red or green M&M?

5. What is the probability of drawing an M&M that is not red?

6. What is the probability of drawing an M&M that is not brown or orange?

7. Would you be more likely to draw an M&M that is not yellow or an M&M that is not blue? Explain your answer.

8. If three more yellow M&Ms were added to the bag, what would be the probability of drawing a yellow M&M?

9. What is the probability of drawing an M&M from the bag? Explain

Supplemental Algebra Name:___________________________________Miss Sciandra/ Mrs. Britton Date:__________ Period:_________Compound Probability:_____________________________________________________________________

_________________________________________________________________________________________

Ex 1: Find the probability of tossing two dice and getting a 3 on each one.

Ex 2: Your wallet has a 6 nickels, 8 pennies, 4 quarters, and 3 dimes.

a) What’s the probability of choosing a penny & a dime?

b) What’s the probability of choosing a quarter & a nickel?

Practice:

1) If two coins are tossed, what is the probability of getting exactly two heads?

2) Matt flipped a coin, and spun the spinner below. What’s the probability of getting a red on the spinner and tails on the coin.

3) Charlie picks a card from the cards below, and rolls a di. What’s the probability of getting a King or Ace & rolling a 1?

4) Michelle spun both spinners below. What’s the probability of getting a 10 and blue? How about a 1-3 and a green?

Supplemental Algebra Name:___________________________________Miss Sciandra/ Mrs. Britton Date:__________ Period:_________5)

1) What is the probability of selecting a car with manual transmission?

2) What is the probability of selecting a blue car with manual transmission?

3) What is the probability of selecting a car with a 4- cylinder engine and a manual transmission

4) What is the probability of selecting a blue car with a 6-cylinder engine and an automatic transmission.

Supplemental Algebra Name:___________________________________Miss Sciandra/ Mrs. Britton Date:__________ Period:_________

Tree DiagramsDraw a tree diagram to represent all possible outcomes

1) Flipping three coins in row

2)

Permutations and CombinationsPermutations – the number of different ways that a certain number of objects can be arranged in order from a larger number of objects.

Calculator: math, prb, #2 nPr where n= number of objects & r= size of group

Example 1: 100 students are participating in a science fair where a gold, silver, and bronze medal will be awarded. How many ways can the top three places be filled?

Example 2: How many 3 letter “words” can we make with the letters in the word LOVE?

Example 3: On the first day of school, Miss Sciandra has 3 students in her geometry class that need to be moved into the first row to see better. If there are 6 front seats, how many ways can she arrange the 3 students?

Combinations – the number of different ways that a certain number of objects can be chosen as a group from a larger number of objects.

Calculator: math, prb, #3 nCr where n= number of objects & r= size of group

Example 1: How many groups of 3 students can be selected in a class of 30 students?

Supplemental Algebra Name:___________________________________Miss Sciandra/ Mrs. Britton Date:__________ Period:_________Example 2: In a club with 36 members, how many groups of 7 can be chosen to run a bake sale?

Example 3: Out of 30 students, how many ways can the teacher choose groups of 4 for a project?

Practice: Answer the following questions by determining whether the following are a permutation or combination.

Note: You can leave answers in scientific notation

1. 1. How many groups of 3 dogs can be selected from a group of 45?

2. Out of 50 people who took an exam, how many different arrangements are possible for the top 5 scores?

3. How many different sets of 5 books can a person choose in a library of 10,000 books?

4. On a hockey team of 45 players, only 9 play at any given time. How many different groups of people

could be on the ice?

5. How many different teams of 5 athletes can be made from a group of 350?

6. Of the 1200 songs on your iPod, you can only listen to 5 on your way to work. In how many ways can

the songs be arranged?

7. 50 actors auditioned for a movie which is casting for 4 roles. In how many ways can the roles be filled?

Supplemental Algebra Name:___________________________________Miss Sciandra/ Mrs. Britton Date:__________ Period:_________

8. A DJ is making a playlist of 12 songs. If she has 400 songs to choose from, in how many ways can she

arrange the playlist?