Lottery Odds Calculator
Find the jackpot odds of a pick-k-from-n lottery.
Your numbers
Your results
Lottery Odds Calculator by TheCalcTools
How the Lottery Odds Calculator works
Enter how many numbers are in the pool and how many are drawn.
The calculator counts the unordered combinations.
Your chance with one ticket is one divided by that count.
The formula
Worked example
Using the default values shown in the calculator:
| Numbers in the pool (n) | 49 |
|---|---|
| Numbers drawn (k) | 6 |
- C(49, 6) = 49! ÷ (6! × 43!) = 13,983,816.
- So the jackpot odds are 1 in 13,983,816.
Result:
| Possible combinations | 13,983,816 |
|---|---|
| Odds of winning (1 in …) | 13,983,816 |
| Probability | 0.00000715 |
Frequently asked questions
Does buying more tickets help?
It raises your chance in proportion, but the chance remains tiny. Ten tickets give odds ten times better, still around one in 1.4 million for a 6/49 game.
Are some number combinations luckier?
No. Every combination is equally likely, although popular patterns are more likely to be shared if they win.
Sources and further reading
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This calculator gives estimates for information only. Check important results independently before you rely on them. See our disclaimer.