Assume that P(^4) = P(-B) for two events A and B. Then prove that, given another event

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Assume that P(^4) = P(-B) for two events A and B. Then prove that, given another event E V{A\E) _ Ρ(Ε|Λ)

P{B\E) ~ P(E\B)

Find an interpretation of the result as a probability inversion formula.

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