Count products with their multiplicities before calculating moments

An unbiased regular tetrahedral die has faces 1,2,3,4. On throwing it onto a horizontal table, the face in contact with the table gives the number. Two such dice are thrown and X is the product of their numbers. Obtain the probability distribution of X, then derive

(i) $P(X>8)$,

(ii) $E(X)$,

(iii) $\operatorname{Var}(X)$.