Does this probability assignment satisfy the three axioms, Financial Econometrics

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Does this probability assignment satisfy the three axioms

An experiment consists of tossing a coin twice and observing the sequence of coin tosses. The sample space consists of four outcomes

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 ?

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Financial Econometrics: Does this probability assignment satisfy the three axioms

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Financial Econometrics: Does this probability assignment satisfy the three axioms

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