A box contains two coins: a regular coin and one two-headed coin. I choose a coin at random and toss it twice. Define the follow
ing events.A= First toss results in a HB= Second toss results in a HC= Regular coin has been selectedAre A and B independent? Are A and B conditionally independent given C? Find P(A|C), P(B|C), P(A∩B|C), P(A), P(B), and P(A∩B), and use them to answer the question.
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