Question

William has a 3-point shooting average of 80%. He wants to determine the number of points he can expect to score if he takes 5 shots. Which describes one trial of a simulation for this situation? A. Write the numbers 1 to 8 on note cards and see how many times the numbers 3 and 5 are picked. B. Generate 5 random integers from 1 to 10 and see how many times the numbers 1 to 8 are generated. C. Throw a dart at a dartboard and see how many times you can score 80 points. D. Generate 3 random integers from 1 to 10 and see how many times the numbers 1 to 8 are generated.

Answer 1

B. Generate 5 random integers from 1 to 10 and see how many times the numbers 1 to 8 are generated.

Explanation:

William wants to simulate 5 shots with an 80% chance each shot. Let's see what is each option simulate

A.

This option is wrong. Since you generate 8 different possibilities(1-8), the chance for each is 1/8= 12.5%. The chance for either 3 and 5 is 25% and it's far from 80%

B.

This option is true. You generate 5 numbers which represent the 5 shots. Since you generate 10 different possibilities(1-10), the chance for each is 1/10= 10%. The chance for 1 to 8 is 80% .

C.

There is no information about the chance for the dart score, so this option won't simulate the situation accurately.

D.

This option is wrong. You generate 3 numbers which represent the 3 shots instead of 5.