4. Bill and George go target shooting together. Both shoot at a target at the same time. Suppose Bill hits the target with probability 0.7, whereas George, independently, hits the target with probability 0.4. a) Given that exactly one shot hit the target, what is the probability that it was George's shot? b) Given that the target is hit, what is the probability that George hit it?

A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
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4. Bill and George go target shooting together. Both shoot at a target at the same time.
Suppose Bill hits the target with probability 0.7, whereas George, independently, hits
the target with probability 0.4.
a) Given that exactly one shot hit the target, what is the probability that it was
George's shot?
b) Given that the target is hit, what is the probability that George hit it?
Transcribed Image Text:4. Bill and George go target shooting together. Both shoot at a target at the same time. Suppose Bill hits the target with probability 0.7, whereas George, independently, hits the target with probability 0.4. a) Given that exactly one shot hit the target, what is the probability that it was George's shot? b) Given that the target is hit, what is the probability that George hit it?
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