A boy has a choice between 3 paths. Each path has the possibility of leading to treasure. The probability of choosing path one and two are 0.5 and 0.4, respectively. The probability of finding treasure for each path are 0.6, 0.25, and 0.8 for path one, two, and three, respectively. Given the cave dweller did not find treasure, what is the probability that the boy chose path three?

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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A boy has a choice between 3 paths. Each
path has the possibility of leading to
treasure. The probability of choosing path
one and two are 0.5 and 0.4, respectively.
The probability of finding treasure for each
path are 0.6, 0.25, and 0.8 for path one,
two, and three, respectively. Given the cave
dweller did not find treasure, what is the
probability that the boy chose path three?
Transcribed Image Text:A boy has a choice between 3 paths. Each path has the possibility of leading to treasure. The probability of choosing path one and two are 0.5 and 0.4, respectively. The probability of finding treasure for each path are 0.6, 0.25, and 0.8 for path one, two, and three, respectively. Given the cave dweller did not find treasure, what is the probability that the boy chose path three?
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