Question

PLZ HELP ME 25 points

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 his 3-point shots chance out of 5 shots. Each shot have 80% chance . Let's see what is each option simulate

A.

Since you generate 8 different possibilities(1-8), the chance for each is 1/8= 12.5%. No statement about how many trial he do. The chance for either 3 and 5 is 25%.This option is wrong.

B.

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% . This option is right.

C.

We don't know how the dart score work and what percentage of he got 80 score. This simulate nothing. This option is wrong.

D.

This option is wrong. The chance similar to B but you generate only 3 numbers instead of 5. This option is wrong.