(Solved): A 2-digit code is obtained as follows. The first digit is a random integer from 0 to 7 (inclusive) ...

A 2-digit code is obtained as follows. The first digit is a random integer from 0 to 7 (inclusive) and the second digit is a random integer from 0 to 8 (inclusive). Let $E$ be the event that the first digit is even, let $F$ be the event that the second digit is odd, and let $G$ be the event that the product of the two digits is odd. (Note that 0 is even.) Find the number of outcomes in the following events. (a) $E?F$ (b) $E?F$ (c) $F?G$ (d) $E?G^{\mathrm{c}}$