Keno Odds Calculator
Set how many numbers you pick. The table shows the exact probability of matching exactly 0, 1, 2… of them when 20 numbers are drawn from 70. The pool and the number of balls drawn can be changed.
Chance of each number of matches
| Matches | Probability | Odds |
|---|---|---|
| Fill in the fields above — the result is computed on this page. | ||
The rows cover every possible number of matches and add up to 100%. The calculator shows probabilities only — no prizes or payouts.
What these numbers mean
- Result for the settings above: 1 in 2,147,181. It updates as soon as any field changes.
- We compute it from the formula shown below — not from a prediction model and not from draw history.
- The result describes a single draw. It does not accumulate over consecutive games: the chance is the same every time.
- The calculator computes, it does not advise. It does not point to numbers and does not say how much to play.
The numbers come from the formula and the values you typed above. They are not a forecast — no calculator changes the probability of a single draw.
How to use this page
- Fill in the fields in the form above — the result recomputes at once, with no page reload.
- Under the result you will find the interpretation scale, if the calculator has one: it says which range your value fell into.
- The formula we use is shown lower on this page — you can check the arithmetic yourself.
- To compute the same for another game or variant, change it in the select field — prices and pools update automatically.
What this page does not do: It does not point to numbers to play and does not predict a draw — every draw is independent of the previous ones.
Further reading
Formula
P(j) = C(D, j) × C(N − D, k − j) ÷ C(N, k) In Keno 20 numbers are drawn from 70 and you choose how many numbers you play. The calculator answers one question: with this many numbers, how likely is each number of matches? It uses the same hypergeometric formula as the lottery odds calculator, only with a different pool.
The more numbers you pick, the less likely it is to match all of them. With one number it is 20 in 70, about 1 in 3.5; with ten numbers it is about 1 in 2,147,181. Picking more numbers does not make the draw more favourable — it only changes which outcomes count.
Zero matches is not rare. With ten numbers the chance of matching none of them is about 1 in 38.6, or 2.59%. The table shows every row, so you can see where most of the probability sits.
The table shows probabilities only. It does not show prizes: Keno prize tables depend on how many numbers you play and on optional add-ons, and we do not publish amounts we have not verified with the official source.
Every Keno draw is independent. Numbers that came up often or rarely in recent draws have exactly the same chance as any other number in the next draw.
Read more
Frequently asked questions
What are the odds of matching all 10 numbers in Keno?
When 20 numbers are drawn from 70, the chance of matching all 10 of your numbers is C(20, 10) ÷ C(70, 10), about 1 in 2,147,181.
Why do the rows add up to 100%?
Because they cover every possible number of matches, from zero to the number of picks. One of them always happens, so together they give exactly 1 — the calculator checks this in its tests.
See also
Lottery Odds Calculator
Exact odds of matching any number of balls in Lotto, Eurojackpot, Keno or your own lottery — as 1 in X and as a percentage.
Lottery System Calculator
Lottery combinations calculator: how many bets a full system covers and what it costs — Polish games or any custom pool.
Multiple Tickets Lottery Odds
How your total chance of the top prize changes with more tickets or more draws — and why the odds of each ticket stay the same.