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.
My answer was b is this correct?
you dunderheads R_scott is right \/
No, your answer is not correct. The correct answer is A. Write the numbers 1 to 8 on note cards and see how many times the numbers 3 and 5 are picked. This is because the simulation should replicate the situation of taking 5 shots and determining the number of successful shots (3-pointers). Option A, which involves randomly picking numbers and counting how many times the desired numbers (3 and 5) are picked, best represents this scenario.
Yes, your answer of B is correct.
In this scenario, the goal is to determine the number of points William can expect to score if he takes 5 shots with a 3-point shooting average of 80%. To simulate this situation, one trial would involve generating 5 random integers from 1 to 10 (representing the shots), and then checking how many times the numbers 1 to 8 (representing a successful shot) are generated.
Option A, which involves picking numbers from note cards and checking for specific numbers, is not a suitable simulation for this situation.
Option C, which involves throwing a dart at a dartboard and measuring the score, does not accurately represent the 3-point shooting average and the number of shots taken.
Option D, generating 3 random integers and checking for specific numbers, also does not accurately simulate the scenario of taking 5 shots and evaluating the number of successful shots.
Therefore, option B is the most appropriate simulation as it aligns with the scenario and allows for the evaluation of the number of successful shots out of the 5 taken.