Correlation Coefficient

Hi Everyone,
i'd be really happy if someone could help me with this problem:
i'm trying to get the correlation between to var. X,Y.
So far i know:
P(X=1|e=1)=P(Y=1|e=1)=0,6
P(X=1|e=0)=P(Y=1|e=0)=0,2
P(Y=1|X=1,e=1)= 0,4
P(Y=1|X=0,e=0)=0,875

I'd be really glad if someone could help me. I Have calculated the Expected values for X and Y, their Variance and the Standard deviation, however i can't seem to figure out how to calculate the joint expected value E(X,Y) so that i can calculate the corr using this formula:
http://upload.wikimedia.org/math/2/0...dcdba91233.png

i'd be very happy if someone could help me or post some tips on how to solve this problem.
cheers and many txh in advance,
stefan
:)