Problem 6. Suppose σ(A) = F and P, Q are two probability measure on F. If P(A) = Q(A) for all A ∈ A, prove that P(A) = Q(A) for all A ∈ F (i.e. that P = Q) using the monotone classes.

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Chapter1: Combinatorial Analysis
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Problem 6. Suppose σ(A) = F and P, Q are two probability measure on F. If P(A) = Q(A) for all A ∈ A, prove that P(A) = Q(A) for all A ∈ F (i.e. that P = Q) using the monotone classes.

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