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Part 1. Two fair coins are tossed and we are told that one turned up “Heads”....

Part 1. Two fair coins are tossed and we are told that one turned up “Heads”. What is the probability that the other turned up “Tails”?

Part 2. Two fair coins are tossed, and we get to see only one, which happened to turn up “Heads”. What is the probability that the hidden coin turned up “Tails”?

*Remark This problem is really different from the previous one!

Math   Statistics-And-Probability   
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Answer #1

Part-1: Given that one of the toss is heads, there are 3 possibilities here:
Either the result is TH, or HT or HH.

Therefore probability that the other is tails is computed as: 2/3

Therefore 2/3 is the required probability here.

Part-2: Here, we are given that a particular coin is heads. Therefore the probability of the other particular coin being Tail is computed here as: 1/2 as both tail and heads are equally likely for the other specific coin.

Therefore 1/2 = 0.5 is the required probability here.

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