A winning $1 ticket pays $12, so the expected return is (190/3160) * $12 = 72.15%.Īlternatively, the probability the player’s first pick will match one of the casino’s numbers is 20/80. So the probability of winning is 190/3160 = 6.01%.

So there are only combin(20,2) = 190 ways to draw 2 winning numbers. However the player must draw 2 out of the casino’s 20 drawn numbers to win. There are a total of combin(80,2) = 3160 ways the player can draw 2 numbers out of 80. There is no consolation prize for only catching one. The player picks 2 numbers and casino must draw both of them for the player to win. We need to start using the combinatorial function for the 2 Spot card. So the probability of winning is 20/80 = ¼. 20 of these will result in a winning ticket. There are 80 numbers the player can pick. If one of these 20 match the player’s number then the player is paid $3 for a $1 bet. Here the player just picks one number, from 1 to 80. In other words the player never gets his original bet back, even if he wins. I assure you the math is the same either way.Īll the following images were taken from the Luxor keno rulebook. So to keep the combinations smaller we will assume the casino draws first, but keeps the numbers secret, and player tries to match the numbers already drawn. Many calculators don’t support numbers this big. The player is paid according to the number of picks made and catches.Īlthough the player picks first the combinations get very huge when calculation the number of ways the casino can match the player’s picks. A 'miss' is a number of the player picked but was not drawn by the casino. A 'catch' is a number the player picked and was drawn by the casino. Before this happens the player may pick 1 to 15 (or more) numbers. In keno the casino, or game machine, will draw 20 numbers out of 80, without replacement. If you don’t know the probability of winning per game is 1 in 13,983,816 then you need to review the combinatorial function before going further.

The player wins the jackpot if all six numbers match (order does not matter). Then the lottery will draw 6 numbers out of 49, without replacement. For example, in the Maryland lotto the player picks 6 numbers out of 49. To understand keno probabilities you must first fully understand the combinatorial function. Probabilities in Keno Probabilities in Keno

Keno payout 2 numbers