A simple inference problem, need help

Hi MLers. I have a problem in inference which might be quite easy for you. The problem is that: I have a simple Bayesian network, F -> X -> m, where F gets the binary values (0 or 1), X is normal distributed with different mean and covariance depending on F and m gets 3 different values depending on a Chi-squared test on X. I am going to find Pr(F=1|X,m). What I have got is: Pr(F=1|X,m) = Pr(F)Pr(X|F)Pr(m|X)/Pr(X,m) My problem is how to calculate Pr(m|X). I am sure that you can help me for that.