About Keno - About Online Keno

Have you ever wondered when does the house have greater advantage over the player? The answer to this one is quite simple, here at www.number1-3d-casino.com : the easier the game is the more advantageous it is for the house. Keno, is a perfect example for this and it goes as following: in every five minutes the casino picks up 20 numbers from 1 to 80, while the Keno player picks up numbers from 1 to 15 and occasionally from 1 to 80.

Your victory is totally dependant upon the number of matching pairs between the numbers you've chosen and those that were drawn by the casino. In addition, the payoff of the table is important and it varies across the different casinos.

While the payoff tables will vary from one casino to another the expected return seems to always range from 70 to 80 cents per dollar bet, making keno among the worst bets in the casino. Many states outside Nevada offer keno as an alternative to lottery tickets. While I can't speak for every state Maryland keno has an expected return of about 50 cents per dollar bet. I believe other state run keno to be just as bad.

About Keno - Calculation of Probabilities, here at http://www.number1-3d-casino.com

The probability of matching x numbers, given that y were chosen, is the number of ways to select x out of y, multiplied by the number of ways to select 20-x out of 80-y, divided by the number of ways to select 20 out of 80.

The "number of ways to select x out of y" means the number of ways, without regard to order, you can select x items out of y to choose from. I shall represent this function as combin(y,x) which you can use in Excel.

For the general case combin(y,x) is y!/(x!*(y-x)!). For those of you unfamiliar with the factorial function n! is defined as 1*2*3*...*n. For example 5!=120. The number of possible five card poker hands would thus be 52!/(47!*5!) = 2,598,960.

As an example let's find, here at number1-3d-casino.com the probability of getting 4 matches given that 7 were chosen. This would be the product of combin(7,4) and combin(73,16) divided by combin(80,20).

combin(7,4) = 7!/(4!*3!)= 35. combin(73,16) = 73!/(16!*57!)=5271759063474610. combin(80,20) = 3535316142212170000. The probability is thus (35*5271759063474610)/3535316142212170000 =~ 0.052190967.