(i)[3]
Four fair six-sided dice, with faces numbered $1, 2, 3, 4, 5, 6$, are rolled. Determine the probability that the four shown numbers add to $5$.
(ii)[4]
Four fair six-sided dice, with faces numbered $1, 2, 3, 4, 5, 6$, are rolled on $7$ separate occasions. Determine the probability that the numbers shown on the four dice add to $5$ on exactly $1$ or $2$ of the $7$ occasions.