Question: Consider an urn containing one fair coin and one two-headed coin. Suppose that Alice randomly draws a coin from the urn and flips it twice.

Consider an urn containing one fair coin and one two-headed coin. Suppose that Alice randomly draws a coin from the urn and flips it twice.

(a) What is the sample space of the experiment? (b) Given that both flips produce heads, what is the probability that Alice drew the two-headed coin from the urn?

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