SOLUTION: Classic Lotto Prize Payout Table Amount of Numbers Prize 3 $2

Question 139919: Classic Lotto Prize Payout Table
Amount of Numbers Prize
3 $2
4 $50
5 $2000
6 Jackpot
CT Lottery is played by selecting six different numbers out of forty-four numbers on a game card (1-44). Six different numbers are drawn randomly by CT. If your selection matches all six of the states drawn numbers then you win the jackpot.
What is the probability of winning the jackpot prize?
How do I figure this out?
I think the actual answer is either 5,082,517,440 by multiplying 44x43x42x41x40x39 or it could be 7,059,052 but I don't know how to get that answer. Can you please explain to me how to do it. Thank you
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
There are 44 numbers to choose from and you want a certain set of six of
those numbers.
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# of winning sets = 1
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# of sets possible: 44C6 = 44!/(44-6)!*6! = 7,059,052
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Probability of choosing the correct set = 1/7059051 = 0.00000014166208...
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Save your money; you'll be a winner every time.
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Cheers,
Stan H.
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