Question: Prove the addition rule for conditional probabilities. That is, show that for events A, B, and C, P(A U B|C) = P(A|C) + P(B|C)

Prove the addition rule for conditional probabilities. That is, show that for events A, B, and C, P(A U B|C) = P(A|C) + P(B|C) − P(AB|C).

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