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Q58Section C (Section C)58 of 60

Combination of probabilities from conditional information

Let XX and YY be discrete random variables with P(Y∈{0,1})=1P(Y\in\{0,1\})=1, P(X=0)=34P(X=0)=\frac34, P(X=1)=14P(X=1)=\frac14, P(Y=1∣X=1)=34P(Y=1|X=1)=\frac34, P(Y=0∣X=0)=78P(Y=0|X=0)=\frac78. Then 3P(Y=1)−P(Y=0)3P(Y=1)-P(Y=0) equals __________________

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