Lottery probability calculator
Exact matches without replacement
| Matches | Win probability |
|---|---|
| 0 | 43.596497551 % |
| 1 | 41.301945048 % |
| 2 | 13.2378029 % |
| 3 | 1.765040387 % |
| 4 | 0.096861972 % |
| 5 | 0.00184499 % |
| 6 | 0.000007151 % |
How it works
The hypergeometric distribution counts ways to match k drawn numbers and miss all other ticket numbers. The displayed net value includes only the selected exact-match prize.
A 6-from-49 ticket matches all six with probability 1 / 13,983,816.
One ticket, distinct numbers, no bonus ball or shared jackpot deduction. Prize is a gross return. Other tiers must be valued separately; no tax model.
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How the Lottery probability calculator works
The hypergeometric distribution counts ways to match k drawn numbers and miss all other ticket numbers. The displayed net value includes only the selected exact-match prize.
Lottery probability calculator
A 6-from-49 ticket matches all six with probability 1 / 13,983,816.
One ticket, distinct numbers, no bonus ball or shared jackpot deduction. Prize is a gross return. Other tiers must be valued separately; no tax model.
FAQ
Lottery probability calculatorexpand_more
P(k) = C(drawn,k) × C(pool−drawn,picks−k) / C(pool,picks). One ticket, distinct numbers, no bonus ball or shared jackpot deduction. Prize is a gross return. Other tiers must be valued separately; no tax model.