When two dice are thrown, the total number of possible outcomes is 6 times 6, or 36. To get a sum of 10, the favorable outcomes are (4, 6), (5, 5), and (6, 4), making exactly 3 favorable combinations. Using the classical probability formula, the probability is the number of favorable outcomes divided by the total outcomes, which is 3 divided by 36, simplifying to 1/12.