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

Exact probability of matching exactly j of your numbers
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 do 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 do I 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.

Formula

P(j) = C(D, j) × C(N − D, k − j) ÷ C(N, k)

N is the pool (70 in Keno), D the numbers drawn (20), k the numbers you pick and j the number of matches. C(n, k) is the binomial coefficient. This is the hypergeometric distribution: tickets with exactly j matches divided by all possible tickets.

Theory — how does the Keno odds calculator work?

In Keno, 20 numbers are drawn out of a pool of 70, and the player chooses how many numbers to pick. The calculator computes the exact probability of matching exactly 0, 1, 2 and so on, using the same hypergeometric formula as the general lottery odds calculator. Enter the number of picks and the tool returns the probability distribution for every possible number of matches. The result applies to a single draw only.

Frequently asked questions

How does the Keno odds calculator work?

Choose how many numbers you play. The calculator finds the probability of every possible match count when 20 numbers are drawn from 70 and shows each result as a percentage and 1-in-X odds. It does not calculate prize amounts.

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.

Keno Odds Calculator

Chance of each number of matches

Formula

Read more

Frequently asked questions

See also

Lottery Odds Calculator

Lottery Syndicate Calculator

Lottery System Calculator

My saved selections

Notifications after draws