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Raffle Odds Calculator

Calculate the chance of at least one prize when winning tickets are drawn without replacement.

Chance of at least one prize: —

Fill in the fields above — the result is computed on this page.

Chance of no prize
—
Expected number of prizes
—

What do these numbers mean?
  • We compute it from the formula shown below — not from a prediction model and not from draw history.
  • Worked example: 10 tickets out of 100 with one prize gives 10%. With several prizes, multiplying that percentage by the prize count is not the correct probability.

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?
  1. Enter your data and check the input limits.
  2. Read the result and the detail table when available.
  3. Change the inputs to compare scenarios. Calculations run locally in your browser.

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(X ≥ 1) = 1 − C(N − k, m) / C(N, m)
N is the total number of eligible tickets, k is your ticket count and m is the number of winning tickets drawn. Every ticket is equally likely. A drawn ticket is not returned to the pool. One person may win more than once with different tickets.
Theory — how are raffle odds calculated?

The calculator works out the chance of winning at least one prize when tickets are drawn without replacement. N is the total number of eligible tickets, k is how many tickets you hold, and m is the number of winning tickets drawn. Every ticket has an equal chance, and a drawn ticket never returns to the pool, so one person can win multiple times with different tickets. The result depends only on these three numbers set by the organiser.

Frequently asked questions

What data should I enter in the raffle odds calculator?
Enter the total number of eligible tickets, your ticket count and the number of winning tickets drawn. Your tickets and the number of prizes cannot exceed the pool.
Does the calculator assume that drawn tickets are returned to the pool?
No. Every ticket is equally likely, and a drawn ticket is not returned to the pool. One person may win more than once with different tickets.
Does this model apply if all of a winner’s tickets are removed?
No. Removing all of a person’s tickets after their first win changes the drawing rules and is not covered by this model.

See also

Keno Odds Calculator

Probability of every number of matches in Keno (20 of 70) or any game drawn without replacement — a full table, no payouts.

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 Syndicate Calculator

Split a prize by member shares. For equal shares, enter 1 for each member.

← All calculators

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Offline app and draw notifications

My saved selections

Selections saved only in this browser. Numbers are shown exactly as saved; this is not a lottery ticket.

Open the My saved selections hub
Restore with preview

Restore in the hub: review the file and confirm first. Both old backups and the complete selections + journal backup are supported. Nothing is uploaded.