We are to find the probability that when three dice are rolled at the same time, the largest value of the three numbers rolled is 4. Let A be the outcome in which the largest number is 4, let B be the outcome in which the largest number is 4 or less, and let C be the outcome in which the largest number is 3 or less. Let P(X) denote the probability that the outcome of an event is X. Then (1) P(B) = = A P(C) = B (2) Since B = AUC and the outcomes A and C are mutually exclusive, it follows that P(A) = с