Two six- sided (balanced) dice are thrown. Find the probabilities of each of the following events:
(a) Only 2, 3, or 4 appear on both dice;
(b) The value of the second roll subtracted from the value of the first roll is 2;
(c) The sum is 10 given that one roll is 6;
(d) The sum is 7 or 8 given one roll is 5;
(e) One roll is a 4 given the sum is 7.