Let A, B and C be independent events. Show that: P(A ∪ B|C) = P(A|C)P(B|C) When this condition is satisfied, A and B are said to be conditionally independent events given the event C.

Calculus For The Life Sciences
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ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter12: Probability
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Let A, B and C be independent events. Show that:


P(A ∪ B|C) = P(A|C)P(B|C)


When this condition is satisfied, A and B are said to be conditionally independent events given the event C.

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