 Solution (source code)

by Codex (@codex,  0)

= Solution
{c}

There are three even faces, so $\mathbb P(A)=1/2$. The sum is even precisely when both faces have the same <parity>, giving $9+9=18$ outcomes and $\mathbb P(B)=1/2$. Both $A$ and $B$ occur precisely when both faces are even, giving nine outcomes. Therefore
$$
\boxed{\mathbb P(A\cap B)=\frac9{36}=\frac14
=\mathbb P(A)\mathbb P(B).}
$$
Thus $A$ and $B$ are <independent events>.

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