Lotto Michigan

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How to solve this problem of probability?

Twice a week, the State of Michigan, works from 6 in which the number 49 Lotto pay at least $ 2 million. The State must know the odds to ensure that the lottery has vast reserves of payments. Purchasing a card of $ 1 and select any 6 numbers from 1 to 49. If the numbers match those that the state is based, you win. How many 6 digit combinations are there to design? If you buy a ticket, what is your probability of winning (6 of 6)?

# Of combinations: 49×48x47×46x45×44 / (1×2x3×4x5×6) = 13983816 = probability of winning 1 in 13,983,816

Michigan’s Going Broke