If P(X) = 0.25 , P(Y) = 1/3 and P(X U Y) = 1/2 , then find P(Y|X)


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This is a question of bayes theorem

P(X) = 0.25 , P(Y) = 1/3
P(XUY) = 0.25 + 1/3 - (X inter Y)
X inter Y = 0.25+ 1/3 - 0.5
X inter Y = 1/12

P(Y|X) = (x inter y)/P(X)
= 1/12/1/4 = 1/3


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