# Are X and Y independent?

We roll two dice once. Let X denote the number of 1’s and Y the number of 6’s obtained. Are X and Y independent?

-
Don't think so... if $X=2$, can $Y$ be anything other than $0$? –  Arturo Magidin Apr 28 '12 at 6:19
Is $P((X=1) \cap (Y=2))=P(X=1)P(Y=2)$?