and the odds is 108.

what is the edge?

The probability for EXACT SCORE is very closed to 0.44%.

So the edge is over 52%.

Live keno is horrible.

editQuote:LiberLaiEXACT SCORE: The sum of the 20 numbered balls drawn is equal to 810.

and the odds is 108.

what is the edge?

Crystal Math and my BF are correct

Sally

Quote:mustangsallyAn exact calculation is very easy in Excel using a few different methods.

Using the binomial coefficients formula

link found here.

http://wizardofvegas.com/forum/questions-and-answers/math/9660-probability-of-fair-die-equaling-sum-of-20/2/#post143909

It is the sum of 10 calculations

This is the same as asking the prob of a sum of 810 rolling 20d80 dice (20 - 80 sided die, or one 80 sided die rolled 20 times)

I get 0.383395%

In Excel,

there may be a few rounding errors,

I would have to use a high precision program on my other computer for an exact value)

this looks very close ;)

115,292,150,460,685,000,000,000,000,000,000,000,000 / 442,024,848,215,333,000,000,000,000,000,000,000

One could also use the posted Wizard's method or even the generating function I showed in an earlier thread.

(I think, when I have more time, I will use the Wizards method and see if there are no rounding errors)

A HE formula like this one

=((((Payoff to 1)+1)*P)-1)*100

108 to 1 payoff (but you said the odds are 108, that should be a 107 to 1 payout)

shows a =((((108)+1)*0.383395%)-1)*100 = -58.20989698% edge

107 to 1 payoff (but you said the odds are 108, that should be a 107 to 1 payout)

shows a =((((107)+1)*0.383395%)-1)*100 = -58.59329242% edge

I agree, over 50% house edge

Hey just about all State Lotteries are this bad, but people do hit the Lottery, just not me yet.

Sally

Actually, in keno, 20 numbers are drawn from a pool of 80, so all of the numbers must be unique and it is not like rolling 20 80 sided dice, where the numbers can be repeated.

silly

Quote:LiberLaiEXACT SCORE: The sum of the 20 numbered balls drawn is equal to 810.

and the odds is 108.

what is the edge?

http://static.mansion88.com/microsites/m88/Keno/kenoRules_en.html

I do not know much yet about Keno, looks to be a simple game.

The 810 total is used in other bets as shown in the linked page.

(my guess the 810 is the mode)

I am sure this is easy to calculate without a simulation as all Keno is basic math.

well, using the right formulas

Looks like a good "Ask the Wizard" question

If the smallest number > 31, the smallest sum >= 32 + 33 + ... + 51, which is 830.