Odd, Even, High, Low: Do 'Balanced' Lottery Numbers Win More Often? We Checked 34,934 Draws
On 23 January 1988, 222 people in West Germany matched all six numbers on a line that broke every rule of the 'balanced ticket'. The balanced split really is the most common one, and our archive of 34,934 draws shows by exactly how much. Why that doesn't make a balanced line any more likely to win comes down to one distinction: a pattern isn't a ticket.
222 Winners for the Wrong Line
On Saturday 23 January 1988, West Germany's 6 aus 49 draw produced 24, 25, 26, 30, 31, 32. Two runs of three neighbours, five of the six numbers above 24, four of the six even. By the rules of thumb that circulate among lottery players, it was a line nobody should play. 222 people had played it. No other 6 aus 49 draw has ever had as many jackpot winners, and each of them got 84,803.90 marks. For comparison: on 9 April that year, 5 winners shared the top tier and each took home 1,461,413.50 marks.
The rules of thumb go roughly like this: mix odd and even numbers, about half and half. Mix low and high numbers the same way. And don't pick numbers that sit right next to each other. The reasoning rests on a fact that is true: balanced draws really are the most common kind. Number-analysis websites publish tables for game after game that show exactly that.
We checked both the fact and the conclusion people draw from it, using the main numbers of 34,934 draws from 11 lotteries in our archive, counting only draws played under each game's current rules.
Why Balanced Draws Really Are More Common
There are 13,983,816 ways to pick 6 numbers from 49. Of the 49, 25 are odd and 24 are even. Three odd numbers can be chosen in 2,300 ways, three even ones in 2,024, which makes 2,300 × 2,024 = 4,655,200 combinations with exactly three of each. That's 33.3% of all possible lines. Six odd numbers, by contrast, can only be put together in 177,100 ways - a mere 1.3%.
So about a third of all draws should come out three-three, and that's what happens: in 6 aus 49 it was 2,186 of 6,568 draws since 1955. The mistake is in the next step. "Three odd, three even" isn't a line, it's a drawer with 4.6 million lines in it. Yours is one of them, and it has the same chance as any other single combination: 1 in 13,983,816 of six correct numbers. The line 1, 2, 3, 4, 5, 6 sits in a much smaller drawer - and has exactly the same chance.
Neighbours are where gut feeling goes furthest astray. Only 7,059,052 of the 13,983,816 combinations have no two consecutive numbers. The other 49.5% contain at least one pair like 17 and 18. A rule against neighbours throws out half of all possible draws - and half of the real ones: 3,301 of 6,568 6 aus 49 draws had at least one such pair.
11 Lotteries Against the Formula
For each lottery, the share of draws that were balanced or contained neighbours - counted, and next to it the share the combinatorics predict. In six-number games balanced means three-three, in five-number games three-two either way. Low means the lower half of the pool, so 1 to 24 in 6 aus 49.
| Lottery | Draws | Odd/even balanced | High/low balanced | With neighbours |
|---|---|---|---|---|
| 6 aus 49 6/49 | 6,568 | 33.3% (33.3%) | 34.6% (33.3%) | 50.3% (49.5%) |
| Eurojackpot 5/50 | 998 | 61.6% (65.1%) | 63.6% (65.1%) | 34.4% (35.3%) |
| EuroMillions 5/50 | 1,989 | 65.7% (65.1%) | 66.7% (65.1%) | 34.7% (35.3%) |
| SuperEnalotto 6/90 | 4,283 | 31.7% (32.3%) | 32.6% (32.3%) | 29.2% (29.8%) |
| UK Lotto 6/59 | 1,185 | 29.5% (32.9%) | 33.8% (32.9%) | 42.8% (42.7%) |
| La Primitiva 6/49 | 4,201 | 32.1% (33.3%) | 33.9% (33.3%) | 50.5% (49.5%) |
| Bonoloto 6/49 | 9,415 | 33.6% (33.3%) | 33.0% (33.3%) | 49.5% (49.5%) |
| El Gordo 5/54 | 1,126 | 66.5% (64.9%) | 62.9% (64.9%) | 34.2% (33.0%) |
| Loto 5/49 | 2,820 | 64.6% (65.1%) | 65.5% (65.1%) | 36.5% (35.9%) |
| Powerball 5/69 | 1,414 | 63.0% (64.4%) | 66.0% (64.4%) | 26.2% (26.5%) |
| Mega Millions 5/70 | 935 | 64.2% (64.4%) | 64.7% (64.4%) | 26.0% (26.2%) |
In brackets: the share of all possible combinations. Data to 13 October 2026.
The formula holds. Bonoloto, at over 9,000 draws the longest record in the archive, is within a third of a point on all three measures. The bigger gaps are mostly in the games with fewer draws, where chance has more room. And there's no direction to them: sometimes balanced draws run a little above the formula, sometimes a little below. Across all 11 lotteries, 14,385 draws were balanced on odd and even where the formula expects 14,519, and 14,651 on high and low.
Neighbours turn up about as often as calculated in every game. The bigger the pool and the fewer numbers drawn, the rarer they are: in Powerball and Mega Millions about one draw in four has a pair, in 6 aus 49 one in two. Every 6 aus 49 draw
The Line That Follows Every Rule
Put all three rules together - three odd, three low, no neighbours - and 789,415 combinations of 6 aus 49 are left, 5.6% of all lines. 375 of the 6,568 draws fell into that corner, 5.7%. So the rules describe a part of the game that gets exactly its fair share of draws, and no more. A line from inside that corner wins as often as a line from outside it. Following the rules doesn't hurt you. It just doesn't do anything.
And the 1988 line? It broke all three rules, was drawn anyway, and had to be split 222 ways. Its problem was never its odds; it was its popularity. On the 6 aus 49 grid, seven rows of seven numbers, 24, 25, 26 and 30, 31, 32 form a compact block of two short, offset rows in the middle. Why so many people played exactly that line isn't on record. Either way it cost them: in games where the winners of a tier share the pot, what decides the prize isn't how likely a line is, but how many other people picked it too.
How to pick numbers fewer people shareWhere the Archive Wobbles
The sums don't come out perfectly smooth. For each lottery we tested not just the balanced share but the whole distribution - how often zero, one, two or more odd numbers came up, and the same for high and low. That's 22 statistical tests. Five of them fell below the usual 5 percent threshold for calling a deviation unusual. With 22 tests you'd expect about one. In simulations of perfectly random draws of the same length, five or more such results turned up only about once in 200 runs.
El Gordo stands out most: since 2005 it has drawn five odd numbers 44 times, where the formula expects about 29. In 6 aus 49 all six numbers were below 25 just 44 times, against about 63 expected. The draws ran through mechanical ball machines, and archives built from decades-old records can contain copying errors; whether either is behind this, or plain chance, we can't say. None of the tests stays significant once you allow for having run 22 at once.
None of this supports the rules of thumb. The deviations don't point towards balance: El Gordo's surplus sits in the most unbalanced group there is, and the two biggest gaps of all - in Eurojackpot and UK Lotto, a little over three points each on odd and even - are shortfalls. Balanced draws came up less often there than calculated.
What It Means for Your Ticket
The balls don't know whether they're even. The same independence that turns overdue numbers into folklore applies to patterns on the slip.
- 1Balance is a description, not a strategy. "Three odd, three even" is a group of 4.6 million lines. Yours is one of them, and like every other line it has a 1 in 13,983,816 chance of six correct numbers in 6 aus 49.
- 2Neighbours are normal. Half of all 6-aus-49 lines contain a pair like 17 and 18, and so did half of the draws since 1955. Leaving them out doesn't cost you anything, and it doesn't gain you anything either.
- 3If a line can be better, it's in what you keep, not in how often you win. The 1988 winners didn't end up with a small prize because their numbers were unbalanced, but because 221 other people had played the same line. Unpopular numbers and a Quick Pick help with that. Balance doesn't.
How Would Your Numbers Have Done?
Our checker runs your numbers against the same archive this article is built on and shows you what they would have won - balanced or not.
Sources: main numbers of 34,934 draws across 11 lotteries from our own archive, counting only draws under each game's current rules, to 13 October 2026; combination counts calculated exactly (for SuperEnalotto, the share that meets all three rules is estimated from 3 million random lines). Distribution tests: chi-square goodness-of-fit tests against the hypergeometric distribution, compared with 3,000 simulated archives of the same length. The draw of 23 January 1988 with its winner count and prize, and the draw of 9 April 1988, from our archive; numbers, winner count and prize checked against Wikipedia ("Lotto 6 aus 49"), lottozahlende.de and lotteryextreme.com. Further spot checks of the 6 aus 49 archive (the five-in-a-row draws of 10 April 1999 and 30 July 2014, the all-high draw of 2 March 2019, two four-in-a-row draws from 1979) match those sources.
Disclaimer: Gambling can be addictive. Play responsibly. Participation from 18 years. This article is for informational purposes only.