Suppose that a fair die is tossed twice and the sum recorded. If the events (i, j), i = 1, 2, ••• , 6 and j = 1, 2, ••• , 6 are equally likely, find (a) The probability the sum is 7. (b) The...

Suppose that a fair die is tossed twice and the sum recorded.

If the events (i, j), i = 1, 2, ••• , 6 and j = 1, 2, ••• , 6

are equally likely, find

(a) The probability the sum is 7.

(b) The probability the sum is 7 given the sum is odd.

(c) The probability the sum is 7 given the sum is odd but not 11.