Number gap — what it means and how to read it

Gap is one of three columns typically seen in statistics tables alongside the number of hits and the date of the last hit. It is also called a break, an interval, or "draws without a hit." Below we describe where its value comes from, what magnitude of gaps is normal for each game, and what conclusions are most often drawn from it — and why most of them are wrong.

How gap is calculated

The algorithm is simple. We take the full list of draws for a given game, sorted from most recent. We go down the list and count the draws in which the number in question did not appear. We stop at the first draw where it did — the counter's value is the gap. If the number appeared in the most recent draw, the counter never increases and the gap is zero.

What matters is the denominator: draws are counted, not calendar days. This has practical significance, because games have very different frequencies. Lotto has three draws a week, Mini Lotto has seven, and Multi Multi and Kaskada each have two a day, meaning fourteen a week. A gap of 20 is under seven weeks in Lotto but a week and a half in Multi Multi. Comparing raw gaps between games therefore makes no sense without converting for draw frequency.

Main numbers and additional numbers are counted separately. In Eurojackpot the main pool has 50 numbers and the additional pool has 12, and these are two independent draws. The number 7 in the main pool and the number 7 in the additional pool have separate gaps that have nothing to do with each other. The same applies to the additional number in Multi Multi.

What the average gap is

The average gap between a number's appearances can be calculated directly from the game's construction, without looking at result history at all. Simply divide the pool size by the number of drawn balls. In Lotto, 6 numbers are drawn from 49, so each number appears on average roughly once every eight draws. The table below shows this calculation for all six games.

Game	Pool	Drawn	Average gap	Draws per week
Lotto	49	6	approx. 8 draws	3
Lotto Plus	49	6	approx. 8 draws	3
Mini Lotto	42	5	approx. 8 draws	7
Eurojackpot (main)	50	5	10 draws	2
Eurojackpot (additional)	12	2	6 draws	2
Multi Multi	80	20	4 draws	14
Kaskada	24	12	2 draws	14

The average gap is the ratio of pool size to the number of drawn balls, rounded. Game parameters are consistent with the Totalizator Sportowy rules. The value is theoretical — actual gaps are spread very widely around it.

The most important part of this table is the last sentence of the caption. The average does not mean the gaps are equal. In Kaskada the average is two draws, yet streaks occur where the same number appears five times in a row, as well as gaps stretching over a dozen draws. The spread around the average is wide, and it is this spread — not the average itself — that describes the actual picture of results.

When a gap is high

A gap significantly above average is nothing unusual. This follows from a simple calculation: since each of the 49 numbers in Lotto has its own gap counter, at any given moment we have 49 counters running in parallel. The probability that none of them will show a value significantly deviating from the average is negligible. Someone will always be at the top of the gap list — and that doesn't mean anything special is happening with that number.

It's also worth remembering that we measure gap for a number we have already chosen as interesting. This is a classic selection trap: we look at a list sorted by gap, take the top position, and ask whether such a gap is normal. The question is framed incorrectly — the top position out of fifty will always be extreme, regardless of what the results actually look like.

We publish the gap of every number in the selected game, together with the date of its last hit and the total number of hits, in the Lotto statistics. An analogous page exists for each of the remaining games under its own address.

What a gap doesn't predict

The most common conclusion drawn from a high gap is: since the number hasn't appeared in a long time, it's all the more due to appear soon. This reasoning is wrong and even has its own name — the gambler's fallacy. Balls in the drum don't remember previous draws. There is no physical or procedural mechanism that would increase a number's chance after a long gap.

In Lotto, every number has the same chance in every draw: six out of forty-nine, or roughly 12.2 percent. This value is identical for a number that appeared yesterday and for one that hasn't shown up in six months. It doesn't change after one draw, nor after a hundred.

The opposite conclusion — that a number with a high gap is "in worse form" and should be avoided — is wrong for exactly the same reason. Both lines of reasoning assume that past results affect future ones, and they don't. Draw statistics are an interesting record of history and nothing more.

It's worth distinguishing two things that are often confused here. The probability of winning does not depend on which numbers you choose, but the size of a potential prize does — if we hit a combination that many other players also pick, the first-prize jackpot gets split among more people. That, however, is a matter of player behavior, not draw statistics.

How to read a gap table sensibly

Gap makes sense as descriptive information. It answers the question "when did this number last appear," and that is its entire content. If someone follows a specific number for personal reasons — a birth date, an apartment number — the gap column tells them how many draws have passed since the last hit. That is a fair and useful application.

It also makes sense to compare the distribution of gaps against the theoretical expectation from the table above. If in Lotto most numbers have a gap around eight, with a few reaching thirty, that's a picture consistent with a random distribution. A systematic deviation in one direction across thousands of draws would be a signal that something is wrong with the drawing procedure — but no such deviation exists in the results of Polish number games.

If you're interested in how gaps are distributed across the entire pool at once, a visual view is often more convenient than a table. The distribution of all numbers' appearances within a chosen range of draws is shown by heat maps, where color intensity corresponds to hit frequency.

If instead you're looking for a set of numbers to play and don't want to base your choice on result history — because, as explained above, it carries no information about the future — you can use the random-pick generator. It draws a set without regard to gaps, which, given that draws are independent, gives exactly the same chance as any other method of choosing numbers.

Frequently asked questions

Is gap counted in days or in draws?

In draws. That's the only sensible denominator, because games have different frequencies and some draw twice a day. The date of the last hit is given separately, as a second column.

Does gap have some maximum possible level?

No, it doesn't. Theoretically it can grow without limit, though the probability of very long gaps decreases quickly. In practice, the limit is the length of the given game's draw history.

Do additional numbers have separate gaps?

Yes. The additional pool in Eurojackpot and the additional number in Multi Multi are independent draws from their own pools, so counters are kept for them separately.

Do Lotto and Lotto Plus have the same gaps?

No. The draws take place on the same days, but they are two separate draws from the same pool of 49 numbers, so results and gaps differ between the games.