Consider the following. X is the value of the larger number when two dice are rolled. (a) Say what an appropriate sample space is. S={(1, 2), (1, 3), ..., (1, 6), (2, 1), (2, 3), ..., (6,5)} OS = {(1, 2, 3, 4, 5, 6), (1, 2, 3, 4, 5, 6)} S = {(1, 1), (2, 2), (3, 3), (4, 4), (5, 5), (6, 6)} S={(1, 1), (1, 2), ..., (1, 6), (2, 1), (2, 2), ..., (6, 6)} OS = {(2, 1), (3, 2), (3, 1), (4, 3), (4, 2), (4, 1), (5, 4), (5, 3), (5, 2), (5, 1), (6, 5), (6, 4), (6, 3), (6, 2), (6, (b) Complete the following sentence. X is the rule that assigns to each outcome the smaller number. (c) List the possible values of X. {2, 3, 4, 5} {1, 2, 3, 4, 5} O {1, 2, 3, 4, 5, 6} {3, 4, 5, 6} {2, 3, 4, 5, 6}