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Old 05-05-2005, 07:24 PM
Siegmund Siegmund is offline
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Join Date: Feb 2005
Posts: 415
Default Re: Keno EV Question

Assuming this is a standard "draw 20 out of 80" Keno game:

There are 80C3 = 82160 tickets you might play.

Of these, 60C3 = 34,220 will miss entirely.
20C1*60C2 = 35,400 will hit 1 number.
20C2*60C1 = 11,400 will hit 2 numbers.
20C3 = 1,140 will hit all 3 numbers.

Your return on your money is (11400*2+1140*45)/82160 ~ 90.2%, a lot worse than roulette, but better than some other keno bets.

To break even, you require a payoff P such that 11400*2+1140*P = 82160, or 52.07 units.

Congratulations on being $20 richer. How much of that are you tipping?
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