At the station there are three payphones which accept 20p pieces. One never works, another always works, while the third works with probability 1/2. On my way to the metropolis for the day. I wish to identify the reliable phone, so that I can use it on my return. The station is empty and 1 have just three 20p pieces. I try one phone and it does not work. 1 try another twice in succession and it works both times. What is the probability that this second phone is the reliable one?

College Algebra
10th Edition
ISBN:9781337282291
Author:Ron Larson
Publisher:Ron Larson
Chapter8: Sequences, Series,and Probability
Section: Chapter Questions
Problem 19T: You and three of your friends are at a party. Names of all of the 30 guests are placed in a hat and...
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At the station there are three payphones which accept 20p pieces. One
never works, another always works, while the third works with probability 1/2. On my
way to the metropolis for the day, I wish to identify the reliable phone, so that I can use
it on my return. The station is empty and 1 have just three 20p pieces. I try one phone
and it does not work. I try another twice in succession and it works both times. What is
the probability that this second phone is the reliable one?
Transcribed Image Text:At the station there are three payphones which accept 20p pieces. One never works, another always works, while the third works with probability 1/2. On my way to the metropolis for the day, I wish to identify the reliable phone, so that I can use it on my return. The station is empty and 1 have just three 20p pieces. I try one phone and it does not work. I try another twice in succession and it works both times. What is the probability that this second phone is the reliable one?
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