We can use inclusion-exclusion with conditional probabilities of the form P(A∪B∣C). Can we also do this when the union is on the "right-hand side" of the condition (giving the following formula)? Why or why not? P(A∣B∪C)=P(A∣B)+P(A∣C)−P(A∣B∩C)
We can use inclusion-exclusion with conditional probabilities of the form P(A∪B∣C). Can we also do this when the union is on the "right-hand side" of the condition (giving the following formula)? Why or why not? P(A∣B∪C)=P(A∣B)+P(A∣C)−P(A∣B∩C)
College Algebra
7th Edition
ISBN:9781305115545
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter9: Counting And Probability
Section9.3: Binomial Probability
Problem 2E: If a binomial experiment has probability p success, then the probability of failure is...
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We can use inclusion-exclusion with conditional probabilities of the form P(A∪B∣C). Can we also do this when the union is on the "right-hand side" of the condition (giving the following formula)? Why or why not? P(A∣B∪C)=P(A∣B)+P(A∣C)−P(A∣B∩C)
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