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A man possesses five coins, two of which are double-headed, one is double-tailed, and two are normal. He shuts his eyes, picks a coin at

A man possesses five coins, two of which are double-headed, one is double-tailed, and two are

normal. He shuts his eyes, picks a coin at random, and tosses it. What is the probability that the lower

face of the coin is a head?

He opens his eyes and sees that the coin is showing heads; what is the probability that the lower

face is a head?

He shuts his eyes again, and tosses the coin again. What is the probability that the lower face is

a head?

He opens his eyes and sees that the coin is showing heads; what is the probability that the lowerface is a head?He discards this coin, picks another at random, and tosses it. What is the probability that it showsheads?

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