A binary random variable XXX with P(X=1)=0.4P(X=1) = 0.4P(X=1)=0.4. Another variable YYY with P(Y=1∣X=1)=0.7P(Y=1|X=1) = 0.7P(Y=1∣X=1)=0.7 and P(Y=1∣X=0)=0.3P(Y=1|X=0) = 0.3P(Y=1∣X=0)=0.3. What is P(X=1∣Y=1)P(X=1|Y=1)P(X=1∣Y=1)?
\frac{0.28}{0.52}
\frac{0.40}{0.70}
0.70
0.40