How to apply bayes rule for this problem? Calculate P(X=T|Y=F) given P(Y=F|X=T) = 0.3, P(X=T) = 0.5, and P(X=F,Y=F)=0.2. Note that T represents true, F represents false, all variables are binary. 

To begin: $\mathsf P(X=T\mid Y=F) ~{= \dfrac{\mathsf P(X=T,Y=F)}{\mathsf P(X=T,Y=F)+\mathsf P(X=F,Y=F)}\\~\\\vdots}$
