Given P(A) and P(A U B) and P(A|B) what is the probability of P(B)? How would one solve this?
回答 (1)
2015-09-20 10:13 pm
P(A ∩ B) = P(A) + P(B) - P(A U B) = P(A|B)*P(B)
.. P(B)(1 - P(A|B)) = P(A U B) - P(A) ... separate P(B) terms from non-P(B) terms, factor
.. P(B) = (P(A U B) - P(A)) / (1 - P(A|B)) ... divide by the coefficient of P(B)
.. P(B)(1 - P(A|B)) = P(A U B) - P(A) ... separate P(B) terms from non-P(B) terms, factor
.. P(B) = (P(A U B) - P(A)) / (1 - P(A|B)) ... divide by the coefficient of P(B)
收錄日期: 2021-04-18 00:18:24
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https://hk.answers.yahoo.com/question/index?qid=20150920120630AAI3wmY