Calculators
Lottery Odds Calculator for Any Game and Prize
Type the rules of any lotto game or pick a Canadian preset. The lottery probability calculator shows the exact odds of every prize tier.
Picking 7 of 52 with 7 drawn, there are 133,784,560 different tickets; only one matches everything.
How it is calculated
Source: OLG game conditions checked Oct 29, 2026
The formula behind every lotto
P(k matches) = C(pick, k) × C(pool − pick, drawn − k) ÷ C(pool, drawn)
Example: Lotto 6/49 jackpot: one winning combination out of 13,983,816, so the odds are 1 in 13,983,816.
Words in the formula
- Pool
- All numbers in the drum.
- Drawn
- How many numbers the draw picks from the pool.
- Pick
- How many numbers are on your selection.
- k
- The number of matches you want the odds for.
- C(n, r)
- The number of ways to choose r numbers out of n when order does not matter.
Check a game in four steps
- Choose a preset or rulesPick a Canadian game from the presets, or type the numbers in the drum, numbers drawn, numbers you pick and bonus balls.
- Add a second drumIf the game draws from a separate set of numbers, like the Daily Grand Grand Number, enter it as the second drum.
- Read the tier tableEvery match level appears as an exact fraction, as odds and as a percent. Open the formula to see the math.
- Compare with official oddsCheck the result against the odds in the game conditions. Small gaps come from rounding.
Presets and what they give
| Game | Jackpot match | Bonus or second drum | Jackpot odds |
|---|---|---|---|
| Lotto Max | 7 of 7 | Bonus number, same drum | 1 in 33,446,140 |
| Lotto 6/49 | 6 of 6 | Bonus number, same drum | 1 in 13,983,816 |
| Daily Grand | 5 of 5 + Grand Number | Grand Number, second drum | 1 in 13,348,188 |
| Ontario 49 | 6 of 6 | Bonus number, same drum | 1 in 13,983,816 |
| Tout ou rien (Loto-Québec) | 12 of 12 | None | 1 in 2,704,156 |
Lotto Max odds are published per play, and one play has several selections. The calculator's figure for a single selection is longer.
Bonus ball vs second drum
Bonus ball, same drum
- Drawn after the main numbers from the balls left in the drum.
- Splits one tier in two, for example 5 of 6 and 5 of 6 + bonus.
- Does not change the jackpot odds.
- Used in Lotto 6/49, Ontario 49 and Lotto Max.
Second drum
- A separate set of numbers, drawn on its own.
- Every main tier splits into with and without the second-drum match.
- Jackpot odds = main-drum odds × numbers in the second drum.
- Used in Daily Grand for the Grand Number.
Learn the math behind it
How combinations are counted
Where 13,983,816 comes from, step by step.
Convert odds formats
Turn odds into a percent or a count per million.
Compare Canadian lotteries
Published odds of the main games side by side.
Keno uses the same formula
Keno odds come from the same hypergeometric count.
Combination play odds
What a combination play with extra numbers does to the odds.
Sources
- OLG – Daily Grand Game Conditions · checked Oct 29, 2026
- OLG – Lotto 6/49 Game Conditions · checked Oct 29, 2026
- Loto-Québec – Règles des loteries · checked Oct 29, 2026
- OLG – About Ontario 49 · checked Oct 29, 2026
- OLG – Ontario 49 Game Conditions · checked Oct 29, 2026
- OLG – Conditions de jeu du Lotto 6/49 · checked Oct 29, 2026
- WCLC – Lotto 6/49 Game Conditions, revision 2022-02-23 · checked Oct 29, 2026
- OLG – Lotto Max Game Conditions · checked Oct 29, 2026
- WCLC – Lotto Max Game Conditions, in effect 2026-04-10 · checked Oct 29, 2026
- OLG – Conditions de jeu du Lotto Max · checked Oct 29, 2026
- Loto-Québec – Conditions de jeu du Lotto Max, en vigueur le 2026-04-10 · checked Oct 29, 2026
- OLG – Conditions de jeu du Grande Vie · checked Oct 29, 2026
Questions
How do you calculate lottery odds?
Count all combinations the draw can produce, then count the combinations that give the match you want. Divide the second count by the first. For Lotto 6/49 the jackpot odds are 1 in 13,983,816.
How does a bonus number change the odds?
A bonus ball from the same drum splits a tier in two, for example 5 of 6 and 5 of 6 + bonus. A separate drum, like the Daily Grand Grand Number, makes every combined match less likely.
Why do my results differ slightly from the official odds?
Operators round their figures and call them approximate. Lotto Max also lists odds per play, and one play has several selections. The calculator shows exact values for one selection.
Can I use this lottery calculator for a US lottery?
Yes, if the game draws numbers from a drum. Type its rules: numbers in the drum, numbers drawn and numbers you pick. Use the second drum for a bonus ball drawn from a separate set.