Random / Probability
Lottery Number Generator and Exact Odds Calculator
Generate lottery lines for generic pools or Powerball, Mega Millions, EuroMillions and UK Lotto. Exclude or require numbers and inspect every main-plus-bonus match tier without prize amounts.
Lottery Number Generator and Exact Odds Calculator: Selects numbers uniformly without duplicates within a line and sorts each pool. Every fixed combination is equally likely in a fair draw; hot or cold numbers do not improve its odds. Birthday patterns and sequences can raise the chance of sharing a jackpot. Odds count combinations exactly; UK Lotto tiers here count its six main numbers, with both match-five outcomes combined. Runs 100% locally in your browser with zero server file uploads.
- Category
- Everyday tools
- Runs
- In your browser
- Cost
- Free · no sign-up
- Availability
- Ready to use
Runs entirely in your browser
Every combination is equally likely. Hot or cold numbers do not change the odds. Popular patterns, such as birthdays and sequences, can increase the chance of sharing a jackpot.
Jackpot: 1 in 292,201,338
Exact tiers count all possible draws for a fixed line. Restrictions change which lines you generate, not the draw odds. Several lines may repeat.
| Main + bonus matches | Odds | Probability | Exact favourable / total draws |
|---|---|---|---|
| 5+1 | 1 in 292,201,338 | 0.0000003422% | 1 / 292,201,338 |
| 5+0 | 1 in 11,688,054 | 0.000008556% | 25 / 292,201,338 |
| 4+1 | 1 in 913,129 | 0.0001095% | 320 / 292,201,338 |
| 4+0 | 1 in 36,525 | 0.002738% | 8,000 / 292,201,338 |
| 3+1 | 1 in 14,494 | 0.006899% | 20,160 / 292,201,338 |
| 3+0 | 1 in 580 | 0.1725% | 504,000 / 292,201,338 |
| 2+1 | 1 in 701 | 0.1426% | 416,640 / 292,201,338 |
| 2+0 | 1 in 28.05 | 3.565% | 10,416,000 / 292,201,338 |
| 1+1 | 1 in 91.98 | 1.087% | 3,176,880 / 292,201,338 |
| 1+0 | 1 in 3.68 | 27.18% | 79,422,000 / 292,201,338 |
| 0+1 | 1 in 38.32 | 2.609% | 7,624,512 / 292,201,338 |
| 0+0 | 1 in 1.53 | 65.23% | 190,612,800 / 292,201,338 |
For learning and entertainment. If gambling is causing harm, contact your national gambling help service.
Official game matrices
Powerball: 5 of 69 plus 1 of 26; https://www.powerball.com/ . Mega Millions: 5 of 70 plus 1 of 24 since April 2025; https://www.megamillions.com/How-to-Play.aspx . EuroMillions: 5 of 50 plus 2 of 12; https://www.national-lottery.co.uk/games/euromillions . UK Lotto: 6 of 59; https://www.national-lottery.co.uk/games/lotto . Jackpot odds are respectively 1 in 292,201,338; 290,472,336; 139,838,160; and 45,057,474.
Probability and responsible play
For exactly r matches when picking k from n, the favourable count is C(k,r) × C(n−k,k−r), divided by C(n,k). Independent bonus-pool probabilities multiply. Hypergeometric reference: https://docs.scipy.org/doc/scipy/reference/generated/scipy.stats.hypergeom.html . For learning and entertainment. If gambling is causing harm, contact your national gambling help service.
How to use it
- Choose a game or enter a generic main and optional bonus pool.
- Set exclusions, required numbers and the number of lines.
- Generate sorted numbers and read the exact probabilities for each match tier.
Privacy & limitations
Number generation and odds calculations run in your browser. No choices are uploaded.
Related tools
Frequently asked questions
Do exclusions improve my odds?
No. They change your generated lines, not the chance of any fixed line matching a fair draw.
Are these winning predictions?
No. They are random selections and mathematical probabilities. Several generated lines can repeat.
Why are no prizes listed?
Prize amounts vary by draw and rules. These rows describe matches, including tiers that do not win a prize.
What Mega Millions matrix is used?
Five main numbers from 70 and one Mega Ball from 24, the matrix introduced in April 2025.
Free tool · runs in your browser · no account required