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Lotto 6/45 Draw 20: Winning Numbers and Probability Explained
Winning numbers and bonus number
- 10
- 14
- 18
- 20
- 23
- 30
- 41
The six winning numbers on 2003-04-19 were 10, 14, 18, 20, 23, 30 and the bonus number was 41. The bonus number only decides second prize, so it is left out of the number-feature calculations below.
First and second prize and the amount after tax
1 player won first prize, KRW 19,352,212,800 each (about KRW 19.35 billion). Applying the current tax rules, the amount after tax is about KRW 12,998,982,576 per winner. Second prize went to 14 players, KRW 230,383,400 each, about KRW 179,699,052 after tax.
| Prize | Winners | Per winner | After tax (reference) |
|---|---|---|---|
| 1st | 1 | KRW 19,352,212,800 | KRW 12,998,982,576 |
| 2nd | 14 | KRW 230,383,400 | KRW 179,699,052 |
| 3rd | 888 | KRW 3,632,100 | — |
| 4th | 48,158 | KRW 133,900 | — |
| 5th | 827,470 | KRW 10,000 | — |
The after-tax figures apply the current rules (income tax withheld at 20%, 30% on the part above KRW 300 million, local income tax of 10% of that, nothing withheld at KRW 2 million or less) to this draw's prize with no purchase cost deducted. The rules in force at the time may have differed. The method is the same as in the prize tax calculator.
Sales in this draw were KRW 81,056,776,000. The five prize levels together paid KRW 40,525,941,400, which is 50.0% of sales. The share varies by draw, for example when a jackpot with no winner is carried to a later draw.
Was the number of first-prize winners ordinary?
Before draw 88 the price of one game differed from today's KRW 1,000, so sales cannot be converted to a number of games by the same rule. To avoid guessing, no Poisson comparison is calculated for this draw. The first-prize winner count was 1.
Features of the six numbers and their exact probabilities
The probabilities below come from counting all 8,145,060 ways to draw six distinct numbers exactly (no approximation). "Probability of this outcome" is the share of all combinations that have the same feature as this draw.
| Feature | This draw | Probability of this outcome |
|---|---|---|
| Odd and even | 1 odd, 5 even | 7.44% |
| Low and high | 4 low (1–22), 2 high (23–45) | 22.7% |
| Neighbouring numbers | no neighbouring pair | 47.1% |
| Sum of the six | 115 | sum ≤ 115: 23.1% sum ≥ 115: 77.9% |
| All six at most 31 | yes | 9.04% |
- The odd-even split is a fairly ordinary one: 1 odd and 5 even has a probability of 7.44%.
- The low-high split is also a common one (22.7%).
- This draw had no neighbouring numbers. Such combinations are 47.1%, fewer than those with a neighbouring pair (52.9%). See the counting.
- The sum is 115; 23.1% of all possible combinations have a sum of 115 or less, by the exact distribution of sums (mean 138, standard deviation about 29.9). It is near the middle.
- All six numbers are 31 or lower (exact probability 9.04%). Because many people choose birthdays (1–31), such combinations carry a relatively higher risk that several players share the first prize. That concerns overlap, not the chance of winning. The birthday numbers trap
Every individual combination has the same 1 in 8,145,060 chance of being drawn. The shares above only show which shapes of combination are more numerous.
Why this result tells you nothing about the next draw
Each draw starts from scratch as an independent trial. The drawing machine does not remember earlier rounds, so the numbers, the odd-even split, the sum and the winner count of this draw have no influence on the next one, and this result tells you nothing about it. Every combination has the same 1 in 8,145,060 chance in every draw. The figures on this page explain a draw that has already happened.
Source and collection time
- Donghaeng Lottery: Lotto 6/45 results by draw — draw 20 collected on
- Source data (JSON) for draw 20 — official response with collection time and SHA-256
- Probabilities and tax were calculated by LottoFlick (calculation code, verification method).
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