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You have purchased a lottery ticket. There are 46 unique lottery balls numbered 1-46. Your lottery ticket randomly assigns you 6 different numbers from the numbers 1-46, and you will win if all 6 of the numbers on your ticket are the same as the ones on the balls selected by the machine at the end of the week. The order of the numbers does not matter.
Required:
(A) What is the probability that you will win?
(B) If the prize money is $17500000 (seventeen million five hundred thousand dollars), and the ticket costs $2, what is the expected value of the game?
(C) Based on the answers above, was the ticket worth it? Why? Or why not?
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