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Suppose that you have two coins; one is fair and the other lands Heads with probability 3/4.
(a) You pick one of the coins at random and flip it. What is the probability that you flip a Heads (H1)?
(b) Suppose you obtained a Heads (H1) from (a). What is the probability that you randomly selected the fair coin (F)?
(c) Using the information in (a) and (b), calculate the probability that it will come upas heads (H2), if you flip the same coin one more time, i.e.,P(H2|H1).
Hint: A conditional version of the law of total probability will be useful
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