A basketball player has a 70% free throw percentage. Which plan could be used to simulate the number of free throws she will make in her next five free throw attempts?
I. Let 0,1 represent making the first shot, 2, 3 represent making the second shot,…, 8, 9 represent making the fifth shot. Generate five random numbers 0-9, ignoring repeats.
II. Let 0, 1, 2 represent missing a shot and 3, 4,…, 9 represent making a shot. Generate five random numbers 0-9 and count how many numbers are in 3-9.
III. Let 0, 1, 2 represent missing a shot and 3, 4,…, 9 represent making a shot. Generate five random
Numbers 0-9 and count how many numbers are in 3-9, ignoring repeats.
A) II and III
B) I, II, and III
C) I only
D) II only
E) III only

Question

Quizplus · Accepted Answer

Plan II correctly simulates the situation by assigning a 70% chance (7 out of 10 numbers) of making a shot and a 30% chance (3 out of 10 numbers) of missing a shot, which matches the player's free throw percentage. Plans I and III do not accurately represent the probability of making a shot.

A Basketball Player Has a 70% Free Throw Percentage