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Asked by Satpal Last Modified
Answer Let E1, E2, and E3 be the respective events of choosing a two headed coin, a biased coin, and an unbiased coin.
Let A be the event that the coin shows heads.
A two-headed coin will always show heads.
Probability of heads coming up, given that it is a biased coin= 75%
Since the third coin is unbiased, the probability that it shows heads is always
.
The probability that the coin is two-headed, given that it shows heads, is given by
P (E1|A).
By using Bayes’ theorem, we obtain
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