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A bag contains a fair coin X and a two h...

A bag contains a fair coin X and a two headed coin Y. A coin is selected at random and tossed twice.
(i) If heads appears both times find the probability that the coin is two headed.
(ii) If tails appears both times, find the probability that the coin is two headed.

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AI Generated Solution

To solve the problem step-by-step, we will use Bayes' theorem and the basic principles of probability. ### Given: - A bag contains: - Coin X: A fair coin (1 head, 1 tail) - Coin Y: A two-headed coin (2 heads) ### (i) If heads appear both times, find the probability that the coin is two-headed. ...
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