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Lotto 6/45 Draw 48: Winning Numbers and Probability Explained

Winning numbers and bonus number

  1. 6
  2. 10
  3. 18
  4. 26
  5. 37
  6. 38
  7. 3

The six winning numbers on 2003-11-01 were 6, 10, 18, 26, 37, 38 and the bonus number was 3. 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

6 players won first prize, KRW 2,415,673,600 each (about KRW 2.42 billion). Applying the current tax rules, the amount after tax is about KRW 1,651,501,312 per winner. Second prize went to 25 players, KRW 96,626,900 each, about KRW 75,368,982 after tax.

Prize results of draw 48
PrizeWinnersPer winnerAfter tax (reference)
1st6KRW 2,415,673,600KRW 1,651,501,312
2nd25KRW 96,626,900KRW 75,368,982
3rd1,279KRW 1,888,700—
4th58,047KRW 83,200—
5th874,668KRW 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 65,806,832,000. The five prize levels together paid KRW 32,901,551,800, 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 6.

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.

Features of the numbers in draw 48
FeatureThis drawProbability of this outcome
Odd and even1 odd, 5 even7.44%
Low and high3 low (1–22), 3 high (23–45)33.5%
Neighbouring numbers1 neighbouring pair52.9%
Sum of the six135sum ≤ 135: 46.8%
sum ≥ 135: 54.5%
All six at most 31no (includes 32 or higher)91.0%

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.

Context: how often each number was drawn

Appearances of each number from 1 to 45 among the six winning numbers (bonus excluded) over draws 1 to 48 (48 draws). If the draws are fully random, each number is expected 6.4 times with a standard deviation of about 2.4. The shaded band is the expectation plus or minus two standard deviations.

Appearances per number versus the theoretical expectationThe shaded band is the expectation plus or minus two standard deviations: 1=5, 2=6, 3=5, 4=7, 5=4, 6=9, 7=9, 8=5, 9=7, 10=5, 11=4, 12=3, 13=8, 14=5, 15=3, 16=6, 17=9, 18=9, 19=6, 20=6, 21=7, 22=2, 23=9, 24=2, 25=10, 26=10, 27=6, 28=3, 29=3, 30=8, 31=8, 32=6, 33=7, 34=3, 35=9, 36=5, 37=14, 38=8, 39=7, 40=12, 41=4, 42=8, 43=8, 44=5, 45=30471114151015202530354045Number

Chi-square goodness-of-fit test: χ² = 48.9, 44 degrees of freedom, p-value = 0.284. The p-value is at least 0.05, so the differences between numbers are within random variation.

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

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