Question: Show that for any three events A, B, and C with P(C) > 0, P(A B|C) = P(A|C) + P(B|C) - P(A B|C).

Show that for any three events A, B, and C with P(C) > 0, P(A ⋃ B|C) = P(A|C) + P(B|C) - P(A ⋂ B|C).

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