You have in your pocket two coins, one bent (comes up heads with probability 3/4) and one fair (comes up heads with probability 1/2).you decide to choose one at random, toss it, and then toss the other coin. Let H1 be the event that the first toss outcome is heads, and H2 the event that the second toss outcome is heads. a) Find the probability P[H1 H2]. b) Find P[H1] and P[H2]. c) Are H1 and H2 independent events? (Also explain why this result should be expected).