four coins, of which 3 are fair coins and the third is a fake coin that has “heads” onboth sides. Bob selects a random coin and tosses it. (a) What is the probability that it comes up heads? (b) Given that it does come up heads, what is the probability that the coin that Bob tossed was one of the fair coins?

A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
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Bob has four coins, of which 3 are fair coins and the third is a fake coin that has “heads” onboth sides. Bob selects a random coin and tosses it.
(a) What is the probability that it comes up heads?
(b) Given that it does come up heads, what is the probability that the coin that Bob tossed was one of the fair coins?

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From the given information we find the probability.

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