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 only
B) III only
C) II and III
D) I, II, and III
E) I only

Question

Quizplus · Accepted Answer

Plan II correctly simulates the 70% chance of making a shot by assigning 7 out of 10 numbers (3-9) to making a shot. Plan III incorrectly ignores repeats, which is not necessary in this context. Plan I does not correctly simulate the probability distribution.

A Basketball Player Has a 70% Free Throw Percentage