We included HMH Into Math Grade 7 Answer Key PDF Module 15 Understand and Apply Theoretical Probability to make students experts in learning maths.
HMH Into Math Grade 7 Module 15 Answer Key Understand and Apply Theoretical Probability
Analyzing Rock-Paper-Scissors
Destiny and Mateo are in the semi-finals of a Rock-Paper- Scissors tournament. Rock-Paper-Scissors is a game for two players, using the three hand signals shown. Players count, “1, 2, 3, go!” and then each player makes a hand signal for rock, paper, or scissors. Each player has an equal chance of winning.
Rock (R) beats scissors (S); Scissors (S) beat paper (P); Paper (P) beats rock (R)
A. The table shows the results of Destiny and Mateo’s match. Complete the table by filling in the missing entries.
Answer:
B. Complete the statements. Write each experimental probability as a fraction and as a decimal.
- Destiny(D) chose Rock __________ times. P(DR) =
or __________ - Mateo(M) chose Rock __________ times. P(MR) = or __________
- Destiny chose Paper __________ times. P(DP) = or __________
- Mateo chose Paper __________ times. P(MP) = or __________
Answer:
- Destiny(D) chose Rock 2 times. P(DR) = 2/10 or 0.2
- Mateo(M) chose Rock 5 times. P(MR) = 5/10 or 0.5
- Destiny chose Paper 4 times. P(DP) = 4/10 or 0.4
- Mateo chose Paper 3 times. P(MP) = 3/10 or 0.3
Turn and Talk
Calculate each player’s experimental probability of choosing scissors. Explain your method of calculation.
Answer: The experimental probability of choosing scissors for each player is 3/10 for Destiny and 2/10 for Mateo.
Are You Ready?
Complete these problems to review prior concepts and skills you will need for this module.
More Likely, Less Likely, Equally Likely
Use the spinner to answer the questions.
Question 1.
Which event is more likely than spinning a 1?
Answer:
Total = 8
The event is more likely than spinning a 1 is 3/8.
Question 2.
Which event is less likely than spinning a 1?
Answer:
Total = 8
The event is less likely than spinning a 1 is 1/8
Question 3.
Which event is equally likely as spinning a 1?
Answer:
Total = 8
The event is equally likely than spinning a 1 is 2/8 or 1/4.
Experimental Probability
The number of each type of bar in a variety pack of granola bars can vary. The table shows the number of peanut butter bars in a random sample of 300 variety packs. Use this information for Problems 4-6.
Question 4.
What is the experimental probability that a variety pack will have exactly 3 peanut butter bars?
Answer:
Total frequency = 300
A variety pack will have exactly 3 peanut butter bars = 75
The experimental probability of an event occurring is the number of times that it occurred when the experiment was conducted as a fraction of the total number of times the experiment was conducted.
Experimental Probability = 75/300
Question 5.
What is the experimental probability that a variety pack will have at most 4 peanut butter bars?
Answer:
Total frequency = 300
A variety pack will have at most 4 peanut butter bars = 11 + 29 + 60 + 75 + 71 = 246
The experimental probability of an event occurring is the number of times that it occurred when the experiment was conducted as a fraction of the total number of times the experiment was conducted.
Experimental Probability = 246/300
Question 6.
Esme buys 15 variety packs. How many packs can she expect to have more than 2 peanut butter bars? Explain your reasoning.
Answer:
Esme buys 15 variety packs.
15 variety packs have 6 peanut butter bars.