🏆Lottery Probability Calculator
UK Lotto default: pick 6 from 59. EuroMillions: pick 5 from 50 + 2 from 12.
Lottery odds are calculated using combinations — the number of ways to choose k winning numbers from a pool of N, without regard to order. The odds are typically millions or tens of millions to one against winning the jackpot, making lotteries among the most negative expected value activities available.
- 1Main draw odds = C(N, k) = N! / (k! × (N−k)!)
- 2With bonus ball: total odds = C(N,k) × C(B,b)
- 3UK Lotto: pick 6 from 59 → C(59,6) = 1 in 45,057,474
- 4EuroMillions: pick 5 from 50 + 2 from 12 → 1 in 139,838,160
UK Lotto (6 from 59)=1 in 45,057,474≈ 0.0000022% chance
EuroMillions (5/50 + 2/12)=1 in 139,838,160About 3× harder than UK Lotto
US Powerball (5/69 + 1/26)=1 in 292,201,338Less likely than flipping 28 heads in a row
| Lottery | Draw Format | Jackpot Odds |
|---|---|---|
| UK Lotto | 6/59 | 1 in 45,057,474 |
| EuroMillions (UK entry) | 5/50 + 2/12 | 1 in 139,838,160 |
| US Powerball | 5/69 + 1/26 | 1 in 292,201,338 |
| US Mega Millions | 5/70 + 1/25 | 1 in 302,575,350 |
| Irish Lotto | 6/47 | 1 in 10,737,573 |
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