Lotto odds calculator
Exact probabilities for any 'choose k of N' game, assuming a fair draw. No prize assumptions.
Possible combinations C(42,6) = 5,245,786
1 different line(s), one draw
1.906e-7
m / C(N,k). Duplicate lines add nothing.
Same line for 104 draws
1.983e-5
1 − (1 − 1/C(N,k))^d
| Exactly matched | Ways | Probability | About 1 in |
|---|---|---|---|
| 6 of 6 | 1 | 1.906e-7 | 5,245,786 |
| 5 of 6 | 216 | 4.118e-5 | 24,286 |
| 4 of 6 | 9,450 | 0.1801% | 555 |
| 3 of 6 | 142,800 | 2.7222% | 37 |
| 2 of 6 | 883,575 | 16.8435% | 6 |
| 1 of 6 | 2,261,952 | 43.1194% | 2 |
| 0 of 6 | 1,947,792 | 37.1306% | 3 |
P(exactly r) = C(k,r)·C(N−k,k−r)/C(N,k).