A coin having probability .8 of landing on heads is flipped. A observes the result—either heads or tails —and rushes off to tell B. However, with probability .4, A will have forgotten the result by the time he reaches B. If A has forgotten, then, rather than admitting this to B, he is equally likely to tell B that the coin landed on heads or that it landed tails. (If he does remember, then he tells B the correct result.)
(a) What is the probability that B is told that the coin landed on heads?
(b) What is the probability that B is told the correct result?
(c) Given that B is told that the coin landed on heads, what is the probability that it did in fact land on heads?
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