So, we got the same answer (the difference is minor and likely due to rounding). So the total number of combinations that have 5 hits and 14 misses is: The "hits" are chosen from your 7 remaining numbers, and the "misses" are chosen from the 72 that you did not pick. Those 19 numbers need to be 5 hits and 14 misses. 19 ways that the other 19 numbers can be drawn. So, to save time, I would calculate it "backwards" (starting with the last number drawn, since order is not actually important - the odds would be the same if you needed to hit the first number instead of the last) So, if I understand this correctly (I have never played Keno), you pick 8 different numbers from 1 to 80, they pick 20 different numbers from 1 to 80, and you win the prizes you mentioned for matching the right number, with the bonus for matching the last number. Also, if you are doing this on your calculator, there is an easier way: just go to google and type "80 choose 8" and it will give you the answer - this should save you some time. They all mean the same thing the number of ways to uniquely choose 8 items from 80 possibilities. Did I do it right? If I did it wrong then where did I go wrong? If I did it right then this game is shaping up to have a big edge.įirst, I want to tell you that instead of writing 80x79x78x77x76x75x74x73/(8x7圆x5x4x3x2x1), you can just write "80 choose 8", or "80 ch. So that's my question to those of you who know how to do the math. That is, as long as I did the math right. So 1408 would be the frequency of making 6/8 with the power hit. There would be 61 numbers left in the jug. With 19 numbers out the last ball would have to be one of the 3 remaining numbers in the 8-spot. In order to make a 6/8 with a Power Hit you would have to have 5/8 by the 19th number drawn. What keno math I know I learned from John Scarne. You get paid 4 times the regular pay when the last ball drawn completes the pay, except in the case of the 6/8 with the power hit, and in the case of the 8/8 because Montana law is $800 max jackpot. The money odds on the payscale looks like this: You get the meter when you catch 6 out of 8 with the last number drawn (called a Power Hit) completing the six. It's an 8-Spot progressive game where the meter starts at $500 and runs at 1%. On my last road trip I found 4 machines with a keno game that looks very promising.
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