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If P(A)=1/3 P(B)=3/4
P(AUB)=11/12 then P(B/A) is
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Answer:
Given,
P(A)= 1/3
P(B)= 3/4
P(AUB) = 11/12
We know that, P(AUB) = P(A)+ P(B) - P(A∩B)
=> P(A)+ P(B) - P(A∩B) = 11/12
=> P(A∩B) = ( 1/3 + 3/4 ) - 11/12
= 2/12
= 1/6
Therefore,
P(B/A)= P(A∩B) / P(A)
= (1/6) / (1/3)
= 1/2
Hope it helps you ^_^
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