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.