We saw that we can use inclusion-exclusion with conditional probabilities of the form P (AUB|C). Can we also do this when the union is on the "right-hand side" of the condition (giving the formula below)? Why or why not? P(A|BUC) = P (A|B) + P (A|C) - P(A|BnC)

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.8: Probability
Problem 30E
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We saw that we can use inclusion-exclusion with conditional probabilities of the form P (AU B|C).Can we also do this
when the union is on the "right-hand side" of the condition (giving the formula below)? Why or why not?
P(A|BUC) = P (A|B) + P (A|C) – P(A|BnC)
Transcribed Image Text:We saw that we can use inclusion-exclusion with conditional probabilities of the form P (AU B|C).Can we also do this when the union is on the "right-hand side" of the condition (giving the formula below)? Why or why not? P(A|BUC) = P (A|B) + P (A|C) – P(A|BnC)
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