Two events E and F are independent if and only if

- P(EF) = P(E) P(F).

Here,

- 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)

Since

25 36 |
1 2 |
1 36 |
, |

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