Consider an experiment of rolling a die. Show that (,F, P) defined below is a probability space:

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Consider an experiment of rolling a die. Show that (Ω,F, P)

defined below is a probability space:

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where A = {ω1, ω2}, B = {ω3, ω4}, C = {ω5, ω6}, and Ac denotes the complement of A, and P(A) = 1/2 and P(B) = P(C) = 1/4.

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