# Question

An experiment consists of tossing a coin twice and observing the sequence of coin tosses. The sample space consists of four outcomes Î¾1 = (H, H), Î¾2 (H, T), Î¾3 (T, H), and Î¾4 (T, T). Suppose the coin is not evenly weighted such that we expect a heads to occur more often than tails and as a result, we assign the following probabilities to each of the four outcomes:
(a) Does this probability assignment satisfy the three axioms of probability?
(b) Given this probability assignment, what is Pr (first toss is head)?
(c) Given this probability assignment, what is Pr (Second toss is head)?

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