Use the Multiplication Rule for Independent Events
-Suppose a basketball player is an excellent free throw shooter and makes 96% of his free throws (i.e., he has a 96% chance of making a single free throw). Assume that free throw shots are independent of one another. Suppose this player gets to shoot three free throws. Find the probability that he misses all three consecutive free throws.
A) 0.0001
B) 0.1153
C) 0.8847
D) 0.9999

Question

Quizplus · Accepted Answer

The probability of missing one free throw is 1 - 0.96 = 0.04. Since the events are independent, the probability of missing three consecutive free throws is 0.04 * 0.04 * 0.04 = 0.000064, which rounds to 0.0001.