Distinguish a reflected distribution from dependent realised throws

A cubical die has three faces marked 1, two faces marked 2 and one face marked 3. Find the expectation and variance of its score in one throw.

Deduce, or find otherwise, the expectation and variance for a second cubical die with one face marked 1, two marked 2 and three marked 3.

Two dice of the first type and one of the second are thrown together; X is their total score. Let $\mu=E(X)$ and $\sigma^2=\operatorname{Var}(X)$. Show that

(i) $\sigma^2=5/3$,

(ii) $P(|X-\mu|>2\sigma)=1/18$.