Question: A box contains three coins: two regular coins and one fake two-headed coin (P(H) = 1). a) You pick a coin at random and toss

A box contains three coins: two regular coins and one fake two-headed coin (P(H) = 1).

a) You pick a coin at random and toss it. What is the probability that it lands heads up?

b) You pick a coin at random and toss it, and get heads. What is the probability that it is the two-headed coin?

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