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Suppose we toss a fair coin independently 10 times. (a) What is the probability that all of them are heads? (b) What is the probability

Suppose we toss a fair coin independently 10 times. (a) What is the probability that all of them are heads? (b) What is the probability that all of them are heads given that at least one of them is a head? (c) Did the probability increase or decrease in your calculation? Do you have an intuitive justification?

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