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Q25Section A (Section A)25 of 60

Conditional pmf from a joint pmf

Let XX and YY have the joint probability mass function

P(X=m,Y=n)={m+n21,m=1,2,3;n=1,2, 0,otherwise.P(X=m,Y=n)=\begin{cases}\dfrac{m+n}{21}, & m=1,2,3; n=1,2,\ 0, & \text{otherwise.}\end{cases}

Then P(X=2∣Y=2)P(X=2|Y=2) equals

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