Odds of winning Korea Lotto 6/45: probability of each tier
Exact probabilities for one line, independent of stakes and prizes. They are the same in every draw.
Korea Lotto 6/45 prizes by tier
| Tier | Matches | Probability | Percentage |
|---|---|---|---|
| 1 | 6 matches | 1 in 8,145,060 | 0.000012 % |
| 2 | 5 matches + Bonus number | 1 in 1,357,510 | 0.000074 % |
| 3 | 5 matches | 1 in 35,724 | 0.002799 % |
| 4 | 4 matches | 1 in 733 | 0.136463 % |
| 5 | 3 matches | 1 in 45 | 2.244060 % |
| Chance of winning something | 1 in 42.0 | 2.38 % |
Probability per line under the current rules, calculated exactly. The prize for a tier is the share of stakes allocated to that tier divided by the number of winners; for jackpot tiers, the amount is rolled over to the next draw if nobody wins.
Multiple lines
With n different lines, the jackpot chance is multiplied by exactly n (the lines are mutually exclusive).
| Lines | Jackpot chance | Chance of winning |
|---|---|---|
| 1 | 1 in 8,145,060 | 2.4 % |
| 2 | 1 in 4,072,530 | 4.7 % |
| 5 | 1 in 1,629,012 | 11.4 % |
| 10 | 1 in 814,506 | 21.4 % |
| 20 | 1 in 407,253 | 38.3 % |
| 50 | 1 in 162,901 | 70.1 % |
| 100 | 1 in 81,451 | 91.0 % |
Average wait
Playing one line per draw, this is the average time you wait for the first win in the tier: (52 draws per year)
| Tier | Draws | years |
|---|---|---|
| 1 | 8,145,060 | 156,635.8 |
| 2 | 1,357,510 | 26,106.0 |
| 3 | 35,724 | 687.0 |
| 4 | 733 | 14.1 |
| 5 | 45 | 0.9 |
For comparison
A jackpot chance of 1 in 8,145,060 is roughly equivalent to getting heads 23 times in a row when tossing a coin.