A pair of fair dice is cast. Let E denote the event that the number landing uppermost on the first die is a 3 and let F denote the event that the sum of the numbers landing uppermost is 6. Determine whether E and F are independant events.

Ok, so I'm fairly sure I've done this right, but need someone to check my work. I figure Pr(E)=1/6 and Pr(F)=5/36. Pr(E∩F)=1/36.

Since (5/36) x (1/6) DNE 1/36 the events are not independant.

Is this correct? Thanks.