Lotto odds calculator
Exact probabilities for any 'choose k of N' game, assuming a fair draw. No prize assumptions.
Possible combinations C(55,6) = 28,989,675
1 different line(s), one draw
3.450e-8
m / C(N,k). Duplicate lines add nothing.
Same line for 104 draws
3.587e-6
1 − (1 − 1/C(N,k))^d
| Exactly matched | Ways | Probability | About 1 in |
|---|---|---|---|
| 6 of 6 | 1 | 3.450e-8 | 28,989,675 |
| 5 of 6 | 294 | 1.014e-5 | 98,604 |
| 4 of 6 | 17,640 | 0.0608% | 1,643 |
| 3 of 6 | 368,480 | 1.2711% | 79 |
| 2 of 6 | 3,178,140 | 10.9630% | 9 |
| 1 of 6 | 11,441,304 | 39.4668% | 3 |
| 0 of 6 | 13,983,816 | 48.2372% | 2 |
P(exactly r) = C(k,r)·C(N−k,k−r)/C(N,k).