A basketball player has an 80% chance of making the first free-throw he shoots. If he makes the first free-throw shot, then he has a 90% chance of making the second free-throw he shoots. If he
Misses the first free-throw shot, then he only has a 70% chance of making the second free-throw
He shoots. Suppose this player has been awarded two free-throw shots. Find the probability that
He makes at least one of the two shots.
A)0.72
B)0.86
C)0.94
D)0.80

Question

Quizplus · Accepted Answer

The probability of making at least one shot can be found by subtracting the probability of missing both shots from 1. The probability of missing both shots is the sum of the probability of missing the first and then missing the second given the first was missed (0.2 * 0.3 = 0.06) and the probability of making the first and missing the second (0.8 * 0.1 = 0.08). So, the probability of missing both is 0.06. Therefore, the probability of making at least one shot is 1 - 0.06 = 0.94.

A Basketball Player Has an 80% Chance of Making the First