(i) To find the probability distribution of \(X\), calculate \(X = \text{Red} - \text{Blue}\) for all combinations:

(ii) Calculate \(\text{E}(X)\):

\(\text{E}(X) = \frac{-1 + 0 + 3 + 4 + 9 + 8}{12} = \frac{23}{12}\)

Calculate \(\text{Var}(X)\):

\(\text{Var}(X) = \frac{1 + 0 + 3 + 8 + 27 + 32}{12} - \left(\frac{23}{12}\right)^2 = \frac{71}{12} - \left(\frac{23}{12}\right)^2\)

\(\text{Var}(X) = \frac{323}{144} \text{ or } \frac{35}{144}\)