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)

A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
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Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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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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