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?

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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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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