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Question

If P(A)=713, P(B)=913 ,P(AB)=1213, then find (A|B).

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Solution

Given:-
P(A)=713
P(B)=913
P(AB)=1213
As we know that,
P(AB)=P(A)+P(B)P(B)
P(AB)=713+9131213
P(AB)=413
Now,
P(A|B)=P(BA)P(B)
P(A|B)=(413)(913)
P(A|B)=49
Hence the correct answer is 49.

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