Two events E and F are independent if and only if
P(EF) = P(E) P(F).
E = event that neither die is a 1; P(E) = 25/36
(exclude all outcomes containing a 1)
F = event that the sum is even; P(F) = 1/2
EF = event that neither die is a 1 and the sum is even; P(EF) = 13/36
(since there are a total of 13 outcomes of this form)
the events E and F are dependent.
To return to the review exercises, just close this window.