14. A pair of fair dice is rolled. Let

$$

X = \begin{cases}

0 & \text{if the sum of the dice is 6} \\

1 & \text{otherwise}

\end{cases}

$$

and let Y equal the value of the first die. Compute

(a) H(Y),

(b) Hy(X), and

(c) H(X, Y).