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Compare the two probability assignments in Exercises 2 12 and 2 13

Compare the two probability assignments in Exercises 2.12 and 2.13.

An experiment consists of tossing a coin twice and observing the sequence of coin tosses. The sample space consists of four outcomes ξ1 = (H, H), ξ2 (H, T), ξ3 (T, H), and ξ4 (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:

Which of these two assignments corresponds to independent coin tosses?

An experiment consists of tossing a coin twice and observing the sequence of coin tosses. The sample space consists of four outcomes ξ1 = (H, H), ξ2 (H, T), ξ3 (T, H), and ξ4 (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:

Which of these two assignments corresponds to independent coin tosses?

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