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Conditional Probabilityhard
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Consider two variables X,YX, YX,Y where P(X=1)=0.5P(X=1)=0.5P(X=1)=0.5 and P(Y=1∣X=1)=0.8,P(Y=1∣X=0)=0.2P(Y=1|X=1)=0.8, P(Y=1|X=0)=0.2P(Y=1∣X=1)=0.8,P(Y=1∣X=0)=0.2. What is the probability that X=1X=1X=1 given Y=1Y=1Y=1?