1. Make it a winner! [12 points] Suppose you enter a lottery where the winner is determined by drawing six distinct numbers between 1 and 30 inclusive. The order that the numbers are drawn, and the order that they appear on your ticket do not matter. To win, the six numbers on your ticket must be the same as those drawn. What is the probability that you win the lottery? (a) Describe the sample space (there are multiple correct answers). (b) Describe the event that you win the lottery as a subset of your sample space. (c) Compute the probability that you win the lottery.