If x and Y are independent random variables with P(X=0)=0.5, P(X=1)=0.3, P(X=2)=0.2 and P(Y=0)=0.6, P(Y=1)=0.1, P(Y=2)=P(Y=3)=0.05 and
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If x and Y are independent random variables with P(X=0)=0.5, P(X=1)=0.3, P(X=2)=0.2 and P(Y=0)=0.6, P(Y=1)=0.1, P(Y=2)=P(Y=3)=0.05 and P(Y=4)=0.2. Find the probability that X+Y is at most 1 with given that Y is at most 1.
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