Keno calculator
Set the size of the board, how many numbers the game draws and how many you pick. You get the exact chance of every hit count, and the RTP of any paytable you type in.
Optional. Pick a casino and a title, and the calculator uses the RTP in our data for it. Only titles with an RTP figure are listed.
Paytables differ from title to title. Type the multipliers your game shows in the last column to get its RTP.
Keno hit table
| Hits | Chance | About | This many or more | Multiplier |
|---|---|---|---|---|
| 0 | 3.54% | 1 in 28.2 | 100.00% | |
| 1 | 16.88% | 1 in 5.9 | 96.46% | |
| 2 | 31.07% | 1 in 3.2 | 79.58% | |
| 3 | 28.82% | 1 in 3.5 | 48.51% | |
| 4 | 14.71% | 1 in 6.8 | 19.69% | |
| 5 | 4.24% | 1 in 23.6 | 4.98% | |
| 6 | 0.68% | 1 in 147 | 0.74% | |
| 7 | 0.06% | 1 in 1,740 | 0.06% | |
| 8 | 0.0023% | 1 in 43,303 | 0.0023% | |
| 9 | 0.000035% | 1 in 2,825,535 | 0.000036% | |
| 10 | 0.00000012% | 1 in 847,660,528 | 0.00000012% |
How keno hit chances are worked out
The game draws a fixed number of balls from the board without putting any back. The chance of an exact number of hits is the number of draws that contain that many of your picks, divided by all possible draws. This is the hypergeometric distribution.
Worked example
On a board of 40 with 10 drawn and 10 picked, the average is 2.5 hits. Zero hits come up 3.54% of the time and exactly three hits 28.82%. All 10 hit about 1 in 847,660,528 rounds.
Plinko is the other game where a table of multipliers sets the return, and the plinko calculator works it out the same way. A wheel is a paytable with a single row, handled by the wheel calculator. Once you know the RTP of your paytable, the expected loss calculator turns it into the cost of a session.
What the keno calculator leaves to you
- It has no paytable of its own. Every multiplier in the table is one you typed, and the RTP is only as accurate as those numbers.
- It cannot say which numbers will be drawn. Past draws do not change the next one.
- Games with bonus balls, multipliers on top or progressive prizes pay by extra rules that are not covered here.
Questions about keno odds
What are the odds of hitting 10 out of 10 in classic keno?
On a board of 80 with 20 drawn it happens about 1 in 8,911,711 rounds. Crypto keno usually has a smaller board, which makes full hits far less rare.
Does picking more numbers improve the return?
Not by itself. More picks change the shape of the hit table, and the game sets a different paytable for each pick count. The return depends on that paytable.
How do I check the RTP of my keno game?
Set the board, the draw and your picks, then type the multiplier for each hit count from the game. With one pick on an 80 ball board, a hit chance of 25.00% and a payout of 3.8x give an RTP of 95.00%.
Are some numbers hit more often than others?
No. Every number has the same chance in every round. Hot and cold numbers describe the past and say nothing about the next draw.