A cave dweller 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 0.9 for path one, two, and three, respectively. Given the cave dweller did not find treasure, what is the probability that he chose path three?

College Algebra
10th Edition
ISBN:9781337282291
Author:Ron Larson
Publisher:Ron Larson
Chapter8: Sequences, Series,and Probability
Section8.7: Probability
Problem 4ECP: Show that the probability of drawing a club at random from a standard deck of 52 playing cards is...
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A cave dweller 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 0.9 for path one, two, and three, respectively. Given the cave dweller did not find
treasure, what is the probability that he chose path three?
Transcribed Image Text:A cave dweller 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 0.9 for path one, two, and three, respectively. Given the cave dweller did not find treasure, what is the probability that he chose path three?
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