In the California Fantasy 5 lottery, each ticket has a set of tiye distinct numbers from 1, 39', chosen uniformly at random. The lottery also chooses a set of five distinct winning numbers uniformly at random. To get the grand prize, your ticket needs to match all the numbers, but there are also some lower brizes. For instance, it your ticket has exactly three of the winning numbers on it then you win $15. [a]: Describe a sample space for the experiment of choosing a set of five distinct numbers from {1, . . . , 39}. Note that the order of the ve numbers is irrelevant. {b} Find the probability that exactly three of the numbers on your ticket are winning numbers