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Question

Find P(AUB) when 2P(A)=P(B)=513and P(A|B)=25.

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Solution

P(A|B)=P(AB)P(B)25=P(AB)5/13P(AB)=2/13P(AUB)=P(A)+P(B)P(AB)=3P(A)213=1526213=11/26

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