Lesson 7.8 Simple Probability Essential Question: How do you find the probability of an event?
7.8 simple probability 1
-
Upload
bweldon -
Category
Technology
-
view
968 -
download
0
description
Transcript of 7.8 simple probability 1
![Page 1: 7.8 simple probability 1](https://reader034.fdocuments.us/reader034/viewer/2022042606/549f676dac7959554c8b4857/html5/thumbnails/1.jpg)
Daily Homework Quiz For use after Lesson 4.3
Simplify
1.
1734
2. 1520
![Page 2: 7.8 simple probability 1](https://reader034.fdocuments.us/reader034/viewer/2022042606/549f676dac7959554c8b4857/html5/thumbnails/2.jpg)
Daily Homework Quiz For use after Lesson 4.3
Simplify
1.
1734
ANSWER
12
2. 1520
ANSWER
34
![Page 3: 7.8 simple probability 1](https://reader034.fdocuments.us/reader034/viewer/2022042606/549f676dac7959554c8b4857/html5/thumbnails/3.jpg)
Simple Probability
7.8
![Page 4: 7.8 simple probability 1](https://reader034.fdocuments.us/reader034/viewer/2022042606/549f676dac7959554c8b4857/html5/thumbnails/4.jpg)
Calculators
You will need a scientific calculator for this unit.
![Page 5: 7.8 simple probability 1](https://reader034.fdocuments.us/reader034/viewer/2022042606/549f676dac7959554c8b4857/html5/thumbnails/5.jpg)
Essential Questions
What are the differences between permutations and combinations?
What are the differences between odds and probability?
How is probability used to make predictions?
What are the differences between experimental and theoretical probabilities?
![Page 6: 7.8 simple probability 1](https://reader034.fdocuments.us/reader034/viewer/2022042606/549f676dac7959554c8b4857/html5/thumbnails/6.jpg)
Vocabulary Probability of an event: the likelihood that the event
will occur.The probability of an event occurring is always
written as a number from 0 to 1.When it is impossible for an event to occur, the
probability is 0.When an event is certain to occur, the
probability is 1.
![Page 7: 7.8 simple probability 1](https://reader034.fdocuments.us/reader034/viewer/2022042606/549f676dac7959554c8b4857/html5/thumbnails/7.jpg)
Vocabulary
Sample Space: is all possible outcomes for an activity or experiment.Rolling a die: 1, 2, 3, 4, 5, 6 (6 possible outcomes)Tossing a coin: Heads, Tails (2 possible outcomes)Drawing a card: 52 cards (52 possible outcomes)
![Page 8: 7.8 simple probability 1](https://reader034.fdocuments.us/reader034/viewer/2022042606/549f676dac7959554c8b4857/html5/thumbnails/8.jpg)
Vocabulary Theoretical probability: what’s suppose to happen
P(event) = Number of favorable outcomes
Number of possible outcomes
Experimental probability: is based on the results of a sample or experiment. (what actually happened)
P(event) = Number of favorable outcomes
Total number of times the experiment was performed
![Page 9: 7.8 simple probability 1](https://reader034.fdocuments.us/reader034/viewer/2022042606/549f676dac7959554c8b4857/html5/thumbnails/9.jpg)
Kari and Susie are playing a game with three colored markers- green, red and blue. On her next turn, if Susie chooses a marker at random and it is green, she wins the game.
What are the outcomes that could happen?green, red, blue
What is the probability of choosing a green marker?1/3, 0.3, 33 1/3%
![Page 10: 7.8 simple probability 1](https://reader034.fdocuments.us/reader034/viewer/2022042606/549f676dac7959554c8b4857/html5/thumbnails/10.jpg)
Nicole found out that Jessica was born in May. What is the probability that she can guess the correct date of Jessica’s birthday on the first try?
How many outcomes are possible?31 days in May
What is the probability of the event?1/31
![Page 11: 7.8 simple probability 1](https://reader034.fdocuments.us/reader034/viewer/2022042606/549f676dac7959554c8b4857/html5/thumbnails/11.jpg)
More Probability and other stuff
If you roll one die what is the probability that the number that shows is greater than 4?
If I roll one die the probability that the number that shows is greater than 4 is 2/6 which simplifies to 1/3.
The possibilities would be 1, 2, 3, 4, 5, 6. The only two numbers greater than 4 would be 5 and 6.
![Page 12: 7.8 simple probability 1](https://reader034.fdocuments.us/reader034/viewer/2022042606/549f676dac7959554c8b4857/html5/thumbnails/12.jpg)
I have 3 pennies and 5 dimes in my pocket. If I pull out one coin what is the probability that I get a dime?
The probability that I get a dime is 5 chances out of eight.
5/8, 0.625, 62.5%
![Page 13: 7.8 simple probability 1](https://reader034.fdocuments.us/reader034/viewer/2022042606/549f676dac7959554c8b4857/html5/thumbnails/13.jpg)
What is the probability that the spinner will land on . .
•Red• 2/5, 0.4, 40%
•Red or blue• 1, 1.0, 100%
• Green• 0, 0, 0%
• Not red• 3/5, 0.6, 60%
Red
Red
BlueBlue
Blue
![Page 14: 7.8 simple probability 1](https://reader034.fdocuments.us/reader034/viewer/2022042606/549f676dac7959554c8b4857/html5/thumbnails/14.jpg)
EXAMPLE 2 Finding Experimental Probability
You roll a number cube 100 times. Your results are given in the table below.
Find the experimental probability of rolling a 6.
P(rolling a 6)= 18100
Number of favorable outcomesTotal number of rolls
= 0.18 = 18%
The experimental probability of rolling a 6 is 18% or 9/50.
ANSWER
![Page 15: 7.8 simple probability 1](https://reader034.fdocuments.us/reader034/viewer/2022042606/549f676dac7959554c8b4857/html5/thumbnails/15.jpg)
EXAMPLE 2 Finding Experimental Probability
You roll a number cube 100 times. Your results are given in the table below.
Find the experimental probability of rolling a 1 or 2.
P(rolling a 1 or 2) = 32100
Number of favorable outcomesTotal number of rolls
= 0.32 = 32%
The experimental probability of rolling a 1 or 2 is 32% or 8/25.
ANSWER
17+15= 32
![Page 16: 7.8 simple probability 1](https://reader034.fdocuments.us/reader034/viewer/2022042606/549f676dac7959554c8b4857/html5/thumbnails/16.jpg)
Explain the difference between experimental and theoretical probability.
Janet says that experimental probability can exceed 1. Is this true? If so, give an example.
![Page 17: 7.8 simple probability 1](https://reader034.fdocuments.us/reader034/viewer/2022042606/549f676dac7959554c8b4857/html5/thumbnails/17.jpg)
HomeworkPage 383 #1-13, 20-23#20-23:
Y
R
B
Y
R
B
RG