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Question

Evaluate P(AB), if 2P(A)=P(B)=513 and P(A|B)=25

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Solution

To find : P(AB)
Given: 2P(A)=P(B)=513,P(A|B)=25
P(A)=52×13=526
P(A)=526;P(B)=513
We know that P(A|B)=P(AB)P(B)
25=P(AB)513P(AB)=25×513=213
We know that P(AB)=P(A)+P(B)P(AB)=526+513213=5+10426=1126

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