Question

We are given 3 coins. The first coin, coin X, has a head on both sides, the second coin, coin Y, has a head on one side and a tail on the other and the third coin, coin Z, has a tail on both sides. You pick a coin among the three coins at random and with equal likelihood of picking any one of the three coins X,Y,Z. You then toss the coin and a tail shows up. What is the probability that there is a head on the other side, i.e., what is the probability that the coin that you tossed was coin Y?

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This problem is solved by the help of Baye's Theorem.0 Proba tosed up A in toe howe

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