Tool
Lottery Number Generator
Pick k numbers from n plus a bonus ball — with the real odds shown. Entertainment only.
Lottery Number Generator
Choosing 6 from 49 has 13,983,816 possible combinations. Every one of them is exactly as likely as every other.
Entertainment only. This generator cannot improve anyone's chance of winning anything. Every combination has identical odds, so no set of numbers this or any other tool produces is better than any other. If gambling is causing you or someone you know harm, support services are available in most countries.
Pick any k-from-n format, add a bonus ball if your game has one, and draw a line. The exact number of possible combinations is calculated and shown alongside it.
The odds figure is the reason this page exists in the form it does. A 6-from-49 game has 13,983,816 possible combinations, and seeing that number next to your line is more informative than the line itself.
This is entertainment only. No generator can improve anyone's chance of winning anything, and this one does not claim to — every combination has identical odds, which is precisely why no set of numbers is better than any other.
How the Lottery Number Generator works — and why it's fair
The main numbers are drawn without replacement using a partial Fisher-Yates pass over the pool: pick an index at random, swap it out, repeat k times. That structurally guarantees no duplicates within a line, which is what the real games do with physical balls and what a naive loop of independent draws would fail at roughly a quarter of the time in a 6-from-49 game.
The bonus ball, where your format has one, is drawn independently from its own pool. That is how most real games with a bonus work: the extra ball comes from a separate machine, so it can duplicate one of your main numbers. If your game draws the bonus from the same machine, set the bonus pool to zero and draw one more main number instead.
The combination count is computed exactly rather than approximated, using an iterative product that avoids the enormous intermediate factorials a direct formula would produce. For 6-from-49 that is 13,983,816; adding a 1-of-10 bonus multiplies it to 139,838,160. Both numbers are exact, not rounded.
Every one of those combinations is equally likely, and that is the fact that makes every strategy claim about number selection false. The combination 1-2-3-4-5-6 has exactly the same probability as any spread of scattered numbers. Avoiding recent draws, avoiding birthdays, avoiding consecutive runs — none of these changes the probability of winning by any amount at all.
There is one true and often misunderstood exception, and it is not about winning: in games with shared jackpots, picking unpopular combinations does not make you more likely to win, but it does make you less likely to split the prize if you do. That is a claim about other players' behaviour, not about the draw, and this tool has no opinion on it.
Nothing you generate here is recorded, transmitted, or associated with you in any way. The line exists only in your browser until you close the page.
When the Lottery Number Generator is fair — and when it is not
What it does guarantee
- Every combination of k numbers from n is exactly as likely as every other.
- No number can appear twice within a line, because the draw is without replacement.
- The combination count is computed exactly and shown, so the odds are never left implied.
What it does not
- It cannot improve your chance of winning anything. No generator can, and this one makes no such claim.
- It has no knowledge of past draws, and past draws would be irrelevant if it did — each draw is independent.
- A generated line is not luckier than a hand-picked one. Both have identical odds.
Two worked examples
6 from 49
- 13,983,816 possible combinations, each with an identical chance.
- That is roughly one in fourteen million — about the chance of correctly guessing a specific second in the next five and a half months.
- Buying two lines doubles your chance to two in fourteen million, which is still two in fourteen million.
5 from 50 with a 1-of-12 bonus
- 2,118,760 main combinations, multiplied by 12 bonus values.
- 25,425,120 total outcomes, all equally likely.
- The bonus ball comes from its own pool, so it can duplicate a main number.
What people use it for
The honest primary use is avoiding the decision. A syndicate that has argued for ten minutes about which numbers to use has already spent more than the tickets cost, and a generated line ends that conversation without anyone having to concede.
It is also used as a demonstration, and it is rather good at that: setting the pool and pick values and watching the combination count grow makes combinatorics concrete in a way a formula does not. Going from 6-from-49 to 6-from-59 multiplies the combinations by more than three, which is not obvious until you see both numbers.
Office pools and syndicates use it for record-keeping reasons — a generated line is one that nobody chose, which removes a specific and common source of argument afterwards about whose numbers were used.
For a fair draw over a general numeric range, the random number generator is the tool. For calling numbers one at a time without replacement, the bingo caller does that and keeps the called board visible. And for a draw someone else has to be able to verify, the seed generator makes the result reproducible from a published seed.
Frequently asked questions
Does this improve my chances of winning?
No. Nothing can. Every combination has identical odds, so a generated line is exactly as likely to win as any other line.
Are some numbers luckier than others?
No. Each combination is equally likely, and past draws carry no information about future ones — the balls have no memory.
Why does the bonus ball duplicate a main number sometimes?
Because most games draw it from a separate pool. If your game uses the same machine, set the bonus pool to zero and draw an extra main number instead.
Is there any point avoiding common combinations?
Not for winning — the odds are identical. In shared-jackpot games, an unpopular combination is less likely to be split if it wins, but that is a claim about other players, not about the draw.
Can it match my country's specific game?
Set the pool size, the pick count and the bonus pool to match. Most formats are expressible; games with two separate bonus pools are not.
How is the combination count calculated?
Exactly, using an iterative product rather than a factorial formula, so it stays accurate for large pools without overflowing.
Are my generated numbers stored?
No. Nothing is transmitted or recorded — the line exists only in your browser until you close the page.
Can the same number appear twice in a line?
Not among the main numbers, which are drawn without replacement. The bonus ball comes from its own pool and can coincide with one.
Is playing the same numbers every week better than changing them?
Neither is better. Each draw is independent, so both strategies have exactly the same odds every time.