Lottery Odds Calculator

Choose a game and the page counts every equally likely draw exactly, then shows the chance of each prize tier, the top prize odds and the chance of winning any prize. It gives odds, not tips.

Free Runs in your browser Checked Thursday, November 12, 2026

A preset with its prize tiers, or a custom game with your own pools.

Result

Top prize odds — The chance of matching every number of the top tier.
Possible draws — Every equally likely draw of the game.
Chance of any listed prize — The chance of landing in any tier of the table.
In other words —
Every prize tier

How the odds are worked out

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How to use it

  1. Choose a Game: a preset with its prize tiers, or Custom game to set your own pools.
  2. For a custom game, type the Numbers in the main pool and Main numbers on a ticket, and the bonus pool and bonus numbers if the game has them.
  3. Read Top prize odds and Chance of any listed prize. The table lists each tier with its tickets and chance.
  4. Use the figures to compare games. Every draw has the same chance, whichever numbers you pick.

How the chances are calculated

A draw takes d main numbers from a pool of n, and j bonus numbers from a pool of m; every draw is equally likely. A ticket with k main numbers and j bonus numbers matches exactly i main and b bonus numbers in C(k, i) × C(n − k, d − i) × C(j, b) × C(m − j, j − b) of the C(n, d) × C(m, j) possible draws. For most games d is k, the numbers on a ticket; On Numara draws 22 numbers for a 10-number ticket.

Chance(i, b) = C(k, i) × C(n − k, d − i) × C(j, b) × C(m − j, j − b) ÷ (C(n, d) × C(m, j))
  • The counts are exact whole numbers, so nothing is simulated and nothing is rounded before the division.
  • A joker is one of the n − d numbers the main draw leaves, so it multiplies every draw by n − d. In Sayısal Loto it splits only the 5-number tiers: 5+1 needs the joker to equal the ticket's sixth number, which the draw did not take.
  • The EuroMillions tiers follow the prize table of euro-millions.com, a site that says it is not endorsed by the operators. Its format matches the UK National Lottery's game page. Powerball follows its Wikipedia article.
  • Eurojackpot and LOTTO 6aus49 follow the class tables of lotto.de, which list the odds of each class. Loto (France) follows the rules of La Française des Jeux, and Mega-Sena the prize page of Caixa Econômica Federal.
  • The four Turkish games follow the rules pages of Milli Piyango, which list their prize categories. Those pages give no effective date; the rules were read on 10 November 2026.
  • The generic 6 of 49 game has no official tiers, so the table lists every combination with at least one match.

The rules of the Turkish games

  • Sayısal Loto: 6 numbers from 1 to 90, and a joker from the 84 numbers left. Prize categories: 6; 5 and the joker (5+1); 5; 4; 3; and 2 numbers.
  • Süper Loto: 6 numbers from 1 to 60. Prize categories: 6, 5, 4, 3 and 2 numbers.
  • On Numara: a ticket of 10 numbers from 1 to 80, and a draw of 22 numbers. Prize categories: 10, 9, 8, 7 and 6 numbers matched, and no number matched.
  • Şans Topu: 5 numbers from 1 to 34 and 1 number from 1 to 14. Prize groups: 5+1, 4+1, 4, 3+1, 3, 2+1, 1+1 and 0+1.

The rules of the other games

  • Eurojackpot: 5 numbers from 1 to 50 and 2 Euro numbers from 1 to 12. Twelve prize classes, from 5 and 2 down to 2 and 1 (lotto.de).
  • LOTTO 6aus49: 6 numbers from 1 to 49 and a Superzahl from 0 to 9. Nine prize classes; class 2 is 6 numbers with the Superzahl not matched (lotto.de).
  • Loto (France): 5 numbers from 1 to 49 and a numéro chance from 1 to 10. Ranks 1 to 9 pay a prize, and rank 9 is one number with the chance, or the chance alone. The rank for alphanumeric codes is not included (FDJ rules, article 8).
  • Mega-Sena (Brazil): 6 numbers from 1 to 60, with prizes for 6, 5 and 4 numbers matched (Caixa).

What the odds do not say

  • Prize amounts, jackpot sizes and rollovers. The page does not model money, so it cannot give the expected return of a ticket.
  • The price of a ticket, tax, or how many tickets you buy.
  • Optional extras such as the Süper Star of Sayısal Loto, which has its own prize categories and is not included.
  • Any strategy. Choosing numbers that few others pick changes how a prize is shared, not the chance of winning it.

Worked example: 5 numbers and the joker in Sayısal Loto

The draw takes 6 numbers from 90 and then a joker from the 84 left, so there are C(90, 6) × 84 = 622,614,630 × 84 = 52,299,628,920 draws. The main draw has exactly 5 of a ticket's 6 numbers in C(6, 5) × C(84, 1) = 6 × 84 = 504 ways. In each of those, the joker has 84 choices: 1 of them is the ticket's sixth number, which makes 5+1 (504 draws in all), and the other 83 make 5 (504 × 83 = 41,832 draws). The chance of 5+1 is 504 ÷ 52,299,628,920, about 1 in 103,769,105.

Matches Tickets Chance
5 main numbers and the joker 504 0.000001%
5 main numbers, joker not matched 41,832 0.000080%

Frequently asked questions

Why is the chance of the top prize so small?

A Sayısal Loto ticket has to match all six numbers out of 90, and there are more than 600 million different main draws. The joker does not help: the top prize odds are 1 in 622,614,630.

Is any set of numbers more likely to win?

No. Every set of six numbers is equally likely to be drawn, including 1, 2, 3, 4, 5 and 6. The figures are the same whichever numbers you pick.

Why does the page not say how much I can win?

Prize amounts depend on sales and rollovers and change from draw to draw. The odds do not change, so the page gives those and leaves money out.

Is this a tip for picking numbers?

No. It shows how often each tier comes up. Every draw is independent of the ones before it, so past results do not change the odds.

What does the joker change?

In Sayısal Loto the joker only decides the 5-number tiers. Five numbers with the joker as your sixth number win the 5+1 tier, which is rarer (1 in 103,769,105) than plain 5 (1 in 1,250,230).

Do the Turkish games share the tiers of EuroMillions?

No. Each game has its own pool sizes and prize categories, taken from the Milli Piyango rules pages, and the table lists the tiers of the game you choose.

How are the odds rounded?

The page computes exact counts and rounds each figure: two decimals below 1,000, such as 1 in 24.87, and a whole number above, such as 1 in 13,811. Published tables sometimes round a figure differently, so the last digit can differ.

Sources

Figures and text last checked on Thursday, November 12, 2026.

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