During half-time of a basketball game there is a half-court shot competition. Three fans are chosen to attempt a half-court shot. Those fans that make the shot share a $30, 000 prize. The first fan has a probability of 0.15 of making the shot, the second fan 0.2, and the third fan 0.15. Assume the probabilities of making the shots are independent. What is the probability that exactly one fan makes their shot?

A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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During half-time of a basketball game there
is a half-court shot competition. Three
fans are chosen to attempt a half-court shot.
Those fans that make the shot share a $30, 000
prize. The first fan has a probability of 0.15
of making the shot, the second fan 0.2, and
the third fan 0.15. Assume the probabilities
of making the shots are independent. What
is the probability that exactly one fan makes
their shot?
Transcribed Image Text:During half-time of a basketball game there is a half-court shot competition. Three fans are chosen to attempt a half-court shot. Those fans that make the shot share a $30, 000 prize. The first fan has a probability of 0.15 of making the shot, the second fan 0.2, and the third fan 0.15. Assume the probabilities of making the shots are independent. What is the probability that exactly one fan makes their shot?
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