In a shooting game, two players shoot at a target at the same time. Suppose person A hits the target with probability 0.7, whereas person B, independently, hits the target with probability 0.4. (a) Knowing that exactly one player hit the target, compute the probability that it was player's A shot? (b) If the target is hit, compute the probability that person A hit it?

College Algebra
7th Edition
ISBN:9781305115545
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter9: Counting And Probability
Section9.3: Binomial Probability
Problem 2E: If a binomial experiment has probability p success, then the probability of failure is...
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Question A 

In a shooting game, two players shoot at a target at the same time. Suppose person
A hits the target with probability 0.7, whereas person B, independently, hits the target
with probability 0.4.
(a) Knowing that exactly one player hit the target, compute the probability that it
was player's A shot?
(b)
If the target is hit, compute the probability that person A hit it?
Transcribed Image Text:In a shooting game, two players shoot at a target at the same time. Suppose person A hits the target with probability 0.7, whereas person B, independently, hits the target with probability 0.4. (a) Knowing that exactly one player hit the target, compute the probability that it was player's A shot? (b) If the target is hit, compute the probability that person A hit it?
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