Let Prob be a probability function on the power set P(Ω) of a sample space Ω....

Let Prob be a probability function on the power set P(Ω) of a sample space Ω. Let B be a set such that Prob(B) > 0. For any set A, define G(A|B) = Prob(A ∩ B) Prob(B) . Prove that for fixed B and as as a function of A, G(·|B) is also a probability function, meaning that G(·|B) satisfies the axioms of probability..

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orchestra answered 1 year ago

Let (Ω, F , P) be a probability space. Suppose that Ω is the collection of...

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Let X be a non-empty set and P(X) its power set. Then (P(x), symetric difference, intersection)...

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