Download Lesson 1: Chance Experiments

7•5
Lesson 1
FUSD AZCCRS MATHEMATICS CURRICULUM
Lesson 1: Chance Experiments
𝑃=
Number of observed occurrences of the event
.
Total number of observations
Example 1
Match each spinner below with the words impossible, unlikely, equally likely to occur or not occur, likely, and certain to
describe the chance of the spinner landing on black.
Spinner A
Spinner B
Spinner C
Spinner D
Spinner E
__________________
__________________
__________________
__________________
__________________
Probability:_____
Probability:_____
Probability:_____
Probability:_____
Probability:_____
Example 2: Animal Crackers
A student brought a very large jar of animal crackers to share with students in class. Rather than count and sort all the
different types of crackers, the student randomly chose 20 crackers and found the following counts for the different types
of animal crackers. Estimate the probability of selecting a zebra.
Animal
Lion
Camel
Monkey
Elephant
Zebra
Penguin
Tortoise
a.
What is your estimate for the probability of selecting a penguin or a camel?
b.
If there are 500 animal crackers in the jar, how many elephants are in the jar?
Explain your answer.
Number
Selected
2
1
4
5
3
3
2
Total 20
S.1
This work is derived from Eureka Math ™ and licensed by Great Minds. ©2015 Great Minds. eureka-math.org
This file derived from G7-M5-TE-1.3.0-10.2015
This work is licensed under a
Creative Commons Attribution-NonCommercial-ShareAlike 3.0 Unported License.
Lesson 1
FUSD AZCCRS MATHEMATICS CURRICULUM
7•5
Exercise 1
Take one 6-sided die and roll it 20 times. Tally each roll below. This is one type of chance experiment.
1:
2:
3:
4:
5:
6:
Tally your data on the board to find the whole class data. Answer the following questions based on the whole
class data.
Whole Class:
1:
2:
3:
4:
5:
6:
a. Calculate the estimated probability of rolling a 1 on a 6-sided die.
b. What is the theoretical probability of rolling a 1 on a 6-sided die?
c. Compare your answers for a and b. Are they similar?
d. What is the estimated probability of rolling a 3 or a 4?
e. What is the theoretical probability of rolling a 3 or a 4 on a 6-sided die?
f.
Compare your answers for d and e. Are they similar?
What is a theoretical probability?______________________________________________________________
What is an estimated probability?______________________________________________________________
When rolling a 6-sided die, there are 6 possible outcomes: 1, 2, 3, 4, 5, & 6. The set of all possible outcomes is
known as the Sample Space.
Sample Space for rolling a 6-sided die: {1, 2, 3, 4, 5, 6}
S.2
This work is derived from Eureka Math ™ and licensed by Great Minds. ©2015 Great Minds. eureka-math.org
This file derived from G7-M5-TE-1.3.0-10.2015
This work is licensed under a
Creative Commons Attribution-NonCommercial-ShareAlike 3.0 Unported License.
Lesson 1
FUSD AZCCRS MATHEMATICS CURRICULUM
7•5
Exercises 2-4
For each of the following chance experiments, list the sample space (i.e., all the possible outcomes).
2. Drawing a colored cube from a bag with 2 green, 1 red, 10 blue, and 3 black
1.
3.
Rolling a number cube with the numbers 1–6 on its faces
4.
Selecting a letter from the word probability
Using the spinner below, answer the following questions.
a.
Are the events spinning and landing on 1 or 2 equally likely?
b.
Are the events spinning and landing on 2 or 3 equally likely?
c.
How many times do you predict the spinner will land on each section after 100 spins?
Lesson Summary

Probability is a measure of how likely it is that an event will happen.

A probability is a number between 0 and 1.

An estimate for finding the probability of an event occurring is
𝑃(event occurring) =
Number of observed occurrences of the event
.
Total number of observations
S.3
This work is derived from Eureka Math ™ and licensed by Great Minds. ©2015 Great Minds. eureka-math.org
This file derived from G7-M5-TE-1.3.0-10.2015
This work is licensed under a
Creative Commons Attribution-NonCommercial-ShareAlike 3.0 Unported License.