Showing work and using the correct formulas: In the betting game Super Draw offe

Question

Showing work and using the correct formulas:

In the betting game Super Draw offered by a lottery company, you choose 7 different numbers in the range 1 to 45. The order in which you choose these numbers is irrelevant. If your 7 numbers match the 7 numbers chosen in the “official drawing”, you win the top prize. If a Super Draw ticket consists of three distinct sets of 7 numbers and sells for $2, and you decide to buy tickets that cover every possible combination thereby guaranteeing that you will win the top prize, how much money will you have to spend?

Explanation / Answer

Number of possibl;e combinations = 45C7 = 45,379,620

Number of prizes = 3

So, number of tickets to be brought = 45,379,620 - 2 = 45,379,618

Amount needed to be spent = 45,379,618 x 2 = $90,759,236

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