Powerball, one line
1 in 292,201,338.
Lottery odds calculator
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Each draw is random and every combination is equally likely. Odds are for one line; more lines raise your chance in proportion. Prize amounts, shared jackpots and special add-ons such as Power Play are not included.
Game
Jackpot odds per line
1 in 292,201,338
Powerball (US): pick 5 from 69 and 1 from 26. With 1 line a draw, you would need about 202,538,535 draws for even a 50% chance of one jackpot.
- Possible combinations
- 292,201,338
- Your chance per draw
- 3.42e-7%
- Draws for a 50% chance
- 202,538,535
- Years at 2 draws a week
- 1,947,486
Odds of each match (one line)
| You match | Odds | Chance |
|---|---|---|
| 5 main + 1 bonus | 1 in 292,201,338 | 3.42e-7% |
| 5 main + 0 bonus | 1 in 11,688,054 | 0.00000856% |
| 4 main + 1 bonus | 1 in 913,129 | 0.000110% |
| 4 main + 0 bonus | 1 in 36,525 | 0.00274% |
| 3 main + 1 bonus | 1 in 14,494 | 0.00690% |
| 3 main + 0 bonus | 1 in 580 | 0.172% |
| 2 main + 1 bonus | 1 in 701 | 0.143% |
| 2 main + 0 bonus | 1 in 28 | 3.56% |
| 1 main + 1 bonus | 1 in 92 | 1.09% |
| 0 main + 1 bonus | 1 in 38 | 2.61% |
How unlikely a jackpot really is
Lottery odds come from counting combinations. In Powerball you choose 5 numbers from 69, which can be done in 11,238,513 ways, and 1 Powerball from 26. Multiply them and there are 292,201,338 possible tickets. Only one wins the jackpot.
Other games are built the same way. Mega Millions picks 5 from 70 and 1 from 24, so 1 in 290,472,336. EuroMillions picks 5 from 50 and 2 from 12, so 1 in 139,838,160. UK Lotto picks 6 from 59, so 1 in 45,057,474.
Big numbers are hard to picture. With one Powerball line a draw, you would need about 200 million draws for a 50% chance of one jackpot. At two draws a week, that is close to two million years.
Smaller prizes are much more likely, which the table shows tier by tier. Those odds are why lotteries can pay out lots of small wins and still keep most of the money. Play for fun with money you can afford to lose.
Sources
What this calculator does not account for
- Odds only, not prize amounts.
- Rules can change; check the operator.
How this is calculated
Formula: Lottery odds
combinations =C(n, k) × C(m, b), where C(n, k) =n! ÷ (k! × (n − k)!)What the symbols mean
- n, kMain numbers in the pool, and how many you pick.
- m, bBonus-ball pool, and how many bonus balls you pick.
- C(n, k)The number of ways to choose k numbers from n.
Good to know
- Odds for partial matches use the hypergeometric formula: ways to match i of your numbers times ways to miss the rest.
- To see what the same money could grow to, try the savings goal calculator.
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Worked examples
Each example is worked out by the same code as the calculator above.
UK Lotto, one line
1 in 45,057,474.
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<iframe src="/embed/lottery-odds-calculator" title="Lottery odds" width="100%" height="720" style="border:0;max-width:42rem" loading="lazy"></iframe>Questions
What are the odds of winning the Powerball jackpot?
1 in 292,201,338. You must match 5 numbers from 69 and the Powerball from 26.
What are the odds of winning Mega Millions?
1 in 290,472,336 under the rules from April 2025: 5 from 70 and 1 Mega Ball from 24.
What are the odds of winning EuroMillions?
1 in 139,838,160: 5 from 50 and 2 Lucky Stars from 12.
Does buying more tickets help?
Each extra line adds the same small chance. Ten lines at Powerball odds is 1 in about 29 million, still extremely unlikely.
Are some numbers luckier?
No. Every combination is equally likely. Picking unpopular numbers only lowers the chance of sharing a jackpot.