Lottery Odds Calculator
Finds the total number of possible lottery combinations when drawing r numbers from a pool of n, and expresses the jackpot odds as 1 in that many.
What this calculator does
The Lottery Odds Calculator estimates your result instantly from the values you enter, using standard statistics formulas. Finds the total number of possible lottery combinations when drawing r numbers from a pool of n, and expresses the jackpot odds as 1 in that many. Calculations run in your browser, so nothing you type is sent to a server, and the output is an estimate rather than a certified or official figure.
Result
About Lottery Odds Calculator
This lottery odds calculator counts how many equally likely draws are possible when r numbers are selected from a pool of n, using nCr = n! ÷ (r! × (n − r)!). Order does not matter, matching how most lotteries draw.
The jackpot odds are then shown as 1 in the total number of combinations.
Formula & Mathematical Calculation
Possible Combinations = f(Total numbers in pool, Numbers drawn)
Calculated according to standard stats formulas implemented in the calculator core.
Calculation Example
For a 6-from-49 draw: nCr = 49! ÷ (6! × 43!) = 13,983,816 combinations, so the odds of matching all six are 1 in 13,983,816.
Key Benefits
- Counts every possible draw so you see the true jackpot odds
- States the odds in plain 1 in N form for easy comparison
- Handles large pools accurately with a log-gamma factorial method
How to Use this Calculator
-
Enter the pool size
Type the total count of numbers available into the Total numbers in pool field, for example 49. -
Enter numbers drawn
Type how many numbers are drawn into the Numbers drawn field, for example 6; it cannot exceed the pool. -
Calculate
Select Calculate to see the possible combinations and the jackpot odds as 1 in N.
Assumptions & Limitations
What the calculation assumes
- Every value you enter is treated as an exact, known amount.
- Any rate or interval you enter is assumed to hold for the whole period unless the form asks for it separately.
- Results use standard published formulas and account only for the values entered above.
- Rounding is applied for display; the underlying calculation uses your full precision.
- Results are returned in the same units you enter, unless the tool states the output unit.
What it does not cover
- Lottery Odds Calculator produces a calculated result for reference and learning, not a certified or official measurement.
- Real-world outcomes differ when tolerances, rounding rules or local standards apply.
- Definitions and standards vary by region and change over time; verify the convention that applies to your case.
- Figures are only as accurate as the inputs you supply — check them before acting on the result.
- For work where the result carries real consequences, confirm it against an authoritative source.
Frequently Asked Questions
Free to use, no account needed. Calculations run in your browser, so nothing you type is sent to a server. Results are estimates — how we build and check our calculators.