Two events E and F are independent if and only if

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

Here,

- E = event that both dice are 1; P(E) = 1/36

F = event that the sum is even; P(F) = 1/2

EF = event that both dice are 1 and the sum is even; P(EF) = 1/36

(only one outcome: (1, 1))

Since

1 36 |
1 2 |
1 36 |
, |

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