Keno Probabilities

Due to the staggering amount of possible number combinations in Keno, the odds and probabilities are tricky to calculate and, sometimes, a bit confusing. When picking twenty numbers at random from eighty, there are 3,535,316,142,212,174,320 different combinations! Of course it is important to consider that the order of numbers is not important. You simply want as many of your chosen numbers to appear as possible.

Below you will find the probabilities for Keno number matches. Keep these numbers in mind when making your bets.

	Match
0	1	2	3	4	5	6	7	8	9	10	11+
Pick
1	75.0	25.0
2	56.0	38.0	6.0
3	41.6	43.1	13.9	1.4
4	30.8	43.3	21.3	4.3	0.3
5	22.7	40.6	27.0	8.4	1.2	0.1
6	16.7	36.3	30.8	13.0	2.9	0.3	<0.1
7	12.1	31.5	32.7	17.5	5.2	0.9	0.1	*0.1
8	8.8	26.6	32.8	21.5	8.2	1.8	0.2	<0.1	*0.1
9	6.4	22.1	31.6	24.6	11.4	3.3	0.6	<0.1	*0.1	*0.1
10	4.6	18.0	29.5	26.7	14.7	5.1	1.1	0.2	<0.1	*0.1	*0.1
11	3.3	14.4	26.8	27.8	17.8	7.4	2.0	0.4	<0.1	*0.1	*0.1	*0.1
12	2.3	11.4	23.8	28.0	20.6	9.9	3.2	0.7	0.1	*0.1	*0.1	*0.1
13	1.6	8.9	20.7	27.3	22.7	12.6	4.8	1.2	0.2	<0.1	*0.1	*0.1
14	1.1	6.8	17.6	25.9	24.2	15.2	6.6	2.0	0.4	<0.1	*0.1	*0.1
15	1.1	6.8	17.6	25.9	24.2	15.2	6.6	2.0	0.4	<0.1	*0.1	*0.1

The table is easy to use! Here's an example: Suppose you pick 5 numbers. You have a 22.7% chance that none of your numbers will come up, a 27.0% chance that three will come up, and a 0.1% chance that all five will appear. If you add up the totals from one row, it will equal 100%, i.e., 2 numbers picked; 56% chance of no numbers, 38% chance of 1 number, and a 6% chance of both (56 + 38 + 6 = 100).

But perhaps you are more interested in the BIG money that can be won in Keno. If you pick 14 numbers, you can see that you have a 2.0% chance of getting 7 of these numbers. However, your chances of hitting all 14 numbers are very small, almost infinitesimal! (we didn't include all of the numbers for this reason, instead, using the symbol * (*0.1) to denote very low odds). If you would like to know what we mean by very small, the probability of hitting all 14 numbers is 0.00000000257, or 1 in 389 million!

If you would like to learn some more about how to play Keno the way we do, check out our Keno Strategy section. Have fun out there!