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Let A, B, and C be events, not necessarily collectively exhaustive, such that each pair is mutually exclusive. Consider the following assignments of probabilities:a) P(A)
Let A, B, and C be events, not necessarily collectively exhaustive, such that each pair is mutually exclusive. Consider the following assignments of probabilities:a) P(A) = 0.5, P(B) = 0.35, P(C) = 0.2b) P(A) = 0.6, P(B) = -0.1, P(C) = 0.5 c) P(A) = 0.7, P(B) = 0.05, P(C) = 0.25 d) P(A) = 0.8, P(B) = 0.15, P(C) = 0.05Determine which of these assignments are consistent with the properties of probabilities and the consequences of these properties given in Section 4.3. For those that are not
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