Probability with Combinations and Permutations

Question 1

Natalie can take one of her three friends with her on a trip to Italy. She can’t decide whom to take. Nick suggests that Natalie use a random number generator to assign numbers 1 through 20 to him, Sarah, and Mike until all the numbers are used. Then Natalie can pick a number from 1 to 20, and that friend will go. Is Nick’s suggestion fair? Explain.

Revolt · Accepted Answer

A: No, one friend will have fewer numbers assigned.

Question 2

Which statements are true regarding this scenario? Check all that apply.

Revolt · Accepted Answer

A: The sample space is {1, 2, 3, 4, 5, 6}.; B: The expected value for the game is 0.; D: The game is fair because the expected value is equal to 0.

Question 3

What is the expected number of defective circuit boards for company A? | What is the expected number of defective circuit boards for company B? | Which company should be chosen for purchasing circuit boards? Explain.

Revolt · Accepted Answer

B: 1.36

Question 4

What is the expected number of defective circuit boards for company A? | What is the expected number of defective circuit boards for company B? | Which company should be chosen for purchasing circuit boards? Explain.

Revolt · Accepted Answer

C: 1.54

Question 5

What is the expected number of defective circuit boards for company A? | What is the expected number of defective circuit boards for company B? | Which company should be chosen for purchasing circuit boards? Explain.

Revolt · Accepted Answer

A: A; lowest expected number of defective boards

Probability with Combinations and Permutations Answers

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