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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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