We included HMH Into Math Grade 7 Answer Key PDF Module 15 Review to make students experts in learning maths.

Vocabulary

Question 1.
How is theoretical probability different from experimental probability?
Theoretical probability describes how likely an event is to occur. For example, we know that a coin is equally likely to land heads or tails, so the theoretical probability of getting heads is 1/2. Experimental probability describes how frequently an event actually occurred in an experiment.

Question 2.
What is a simulation in probability? Write a definition in your own words.
Answer: A simulation is a way of collecting probability data using actual objects, such as coins, spinners, and cards.

Concepts and Skills

Question 3.
A box contains 4 red pencils, 6 yellow pencils, and 5 blue pencils. What is the probability of randomly selecting a yellow pencil from the box?
Given,
A box contains 4 red pencils, 6 yellow pencils, and 5 blue pencils
Total number of pencils = 4 + 6 + 5 = 15 pencils
The probability of randomly selecting a yellow pencil from the box = 6/15 = 3/5

Question 4.
Select the situation with a $$\frac{1}{3}$$ probability of randomly selecting a blue marble from a bag.
(A) A bag containing 1 white, 4 red, 3 blue, 2 green, and 4 black marbles
(B) A bag containing 2 white, 6 red, 8 blue, 5 green, and 5 black marbles
(C) A bag containing 3 white, 2 red, 5 blue, 3 green, and 2 black marbles
(D) A bag containing 3 white, 3 red, 3 blue, 3 green, and 3 black marbles
(C) A bag containing 3 white, 2 red, 5 blue, 3 green, and 2 black marbles
Explanation:
(A) A bag containing 1 white, 4 red, 3 blue, 2 green, and 4 black marbles
Total marbles = 1 + 4 + 3 + 2 + 4 = 14
Probability of selecting a blue marble from a bag = 3/14
(B) A bag containing 2 white, 6 red, 8 blue, 5 green, and 5 black marbles
Total marbles = 2 + 6 + 8 + 5 + 5 = 26
Probability of selecting a blue marble from a bag = 8/26
(C) A bag containing 3 white, 2 red, 5 blue, 3 green, and 2 black marbles
Total marbles = 3 + 2 + 5 + 3 + 2 = 15
Probability of selecting a blue marble from a bag = 5/15 = 1/3
So, option C is the correct answer.

Question 5.
Use Tools A stack of cards contains 25 red cards, 25 blue cards, 25 green cards, and 25 yellow cards. A card is drawn from the stack at random and then replaced 300 times. The results are shown. Which experimental probability from this experiment is closest to the expected theoretical probability based on the sample space? State what strategy and tool you will use to answer the question, explain your choice, and then find the answer.

Question 6.
Ginny rolls two number cubes numbered 1 to 6. Complete the table by determining the theoretical probability of each event.

Question 7.
Harry spins the spinner shown 60 times. How many times can he be expected to get a number less than 3?

___________ times
Given,
Harry spins the spinner shown 60 times.
There are p(1) = 2
p(2) = 2
There are four numbers that are less than 3
60/4 = 15
Thus 15 times he can expect to get a number less than 3.

Question 8.
A restaurant serves buttermilk, gingerbread, and pecan pancakes with strawberry, banana, or blueberry topping. Each week, the manager randomly selects one pancake type and one topping to be the breakfast special. There is an equal chance that each type and topping is picked. For about how many of the 52 weeks in a year can the restaurant be expected to have banana pecan pancakes as the breakfast special?
(A) 6 weeks
(B) 9 weeks
(C) 12 weeks
(D) 17 weeks

Question 9.
Sula designs greeting cards for her friends. Each friend has a 30% chance to get a musical greeting card. Design a simulation that can be used to estimate the probability that a friend who receives 2 greeting cards will receive at least one musical greeting card.