Question: An experiment consists of randomly selecting one of three coins, tossing it, and observing the outcome-heads or tails. The first coin is a two-headed coin, the second is a biased coin such that P(H) .75, and the third is a fair coin.
a. What is the probability that the coin that is tossed will show heads?
b. If the coin selected shows heads, what is the probability that this coin is the fair coin?