You have two biased coins. Coin A comes up heads with probability ¼. Coin Bcomes up heads with probability ¾. However, you are not sure which is which so youflip each coin once, choosing the first coin randomly. Let i H and i T denote the resultof flip i. Let i A denote the event that coin A was flipped first, and likewise for coin B.What is [ ] 1 2 P H H ? Are 1 H and 2 H independent? Explain your answer. [Hint: use theidentity: P[A] = P[A|B] P[B] + P[A|~B] P[~B] where ~B denotes the event ‘not B'.]