Let P(X=3)=0.4 and P(Y=2)=0.5. Find P(X=3,Y=2). Let $P(X=3)=0.4$ and $P(Y=2)=0.5$. I need to find $P(X=3,Y=2)$.
I'm thinking that I ought to just multiply the two probabilities: $P(X=3) \times P(Y=2)$ to get $0.4 \times 0.5 = 0.2$, but is this correct? 
If not, how do I go about finding this? There is a chance that it is uncomputable.
Edit: They are not independent.
Both X and Y are random variables. 

If you assume that X and Y are independent random variables, then your answer is correct. Otherwise, we would need a bit more information to answer your question.
