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Show that for any three events A, B, and C with P(C) > 0,
Chapter 3, Problem 58E(choose chapter or problem)
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).
Questions & Answers
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).
ANSWER:Answer : Step 1 : We use formula for conditional prob and a few set operations. P(A U B|C) = P[(AUB) C] /P(C) Now to make following this easier to read and write, I