Eurojackpot: the delta system recalculated

The delta system records the gaps instead of the numbers: the lowest number, then the gap to the next. 3 · 8 · 9 · 21 · 30 becomes 3 · 5 · 1 · 12 · 9. The idea: small deltas are more frequent, so you build your lines with small deltas.

Delta frequency

Share of each delta value across the 993 draws (all positions) against the exact probability. For a random draw, P(delta = g) = C(N−g, K−1) / C(N, K): small gaps are more frequent simply because more combinations contain them.

ObservedExpected
Δ 19.9 % / 10.0 %
Δ 29.4 % / 9.2 %
Δ 38.3 % / 8.4 %
Δ 47.6 % / 7.7 %
Δ 56.8 % / 7.0 %
Δ 67.2 % / 6.4 %
Δ 76.0 % / 5.8 %
Δ 85.1 % / 5.3 %
Δ 95.0 % / 4.8 %
Δ 104.2 % / 4.3 %
Δ 113.4 % / 3.9 %
Δ 123.0 % / 3.5 %
Δ 133.4 % / 3.1 %
Δ 143.3 % / 2.8 %
Δ 152.7 % / 2.5 %
Δ 162.4 % / 2.2 %
Δ 171.7 % / 1.9 %
Δ 181.5 % / 1.7 %
Δ 191.6 % / 1.5 %
Δ 201.3 % / 1.3 %
Δ 211.2 % / 1.1 %
Δ 220.8 % / 1.0 %
Δ 230.7 % / 0.8 %
Δ 240.5 % / 0.7 %
Δ 250.4 % / 0.6 %
Δ 260.5 % / 0.5 %
Δ 270.4 % / 0.4 %
Δ 280.4 % / 0.3 %
Δ 290.3 % / 0.3 %
Δ 300.2 % / 0.2 %
Δ 310.3 % / 0.2 %
Δ 320.1 % / 0.1 %
Δ 330.1 % / 0.1 %
Δ 340.1 % / 0.1 %
Δ 350.1 % / 0.1 %
Δ 360.0 % / 0.0 %
Δ 370.0 % / 0.0 %
Δ 380.0 % / 0.0 %
Δ 410.0 % / 0.0 %

80% of deltas are between 1 and 14. Average delta: observed 8.47, expected 8.50.

Deltas of the latest draws

DateWinning numbersΔ
09.10.202618 38 41 43 4618 · 20 · 3 · 2 · 3
06.10.20267 12 19 28 507 · 5 · 7 · 9 · 22
02.10.20264 6 7 17 454 · 2 · 1 · 10 · 28
29.09.202621 30 36 43 4821 · 9 · 6 · 7 · 5
25.09.20262 7 10 29 302 · 5 · 3 · 19 · 1
22.09.202617 23 33 46 4717 · 6 · 10 · 13 · 1
18.09.20264 25 30 32 334 · 21 · 5 · 2 · 1
15.09.20265 6 10 27 425 · 1 · 4 · 17 · 15
11.09.202614 21 35 37 4914 · 7 · 14 · 2 · 12
08.09.202614 27 34 36 4714 · 13 · 7 · 2 · 11
04.09.20265 14 31 33 435 · 9 · 17 · 2 · 10
01.09.20269 14 35 43 509 · 5 · 21 · 8 · 7

Delta generator

Generates lines whose deltas follow the observed distribution (so frequent deltas appear more often). Option: maximum delta.

    Conclusion: the delta distribution of real draws matches chance exactly. A line with “typical” deltas is therefore no more likely than any other – the system merely rules out combinations (e.g. very spread out ones) that come up just as often as the rest.

    How it works

    The winning numbers are sorted; the deltas are the gaps between neighbouring numbers (the first number counts as the first delta). The page shows which deltas occurred how often and generates lines from typical deltas.

    Example

    3 – 11 – 17 – 30 – 44 gives the deltas 3, 8, 6, 13, 14.

    Limitations

    Small deltas are more common because mathematically there are more combinations with small gaps – not because they are "better". The odds of winning stay the same.

    Frequently asked questions about this tool

    Is the delta system a winning strategy?
    No. It only describes the shape of drawn combinations; every combination remains equally likely.
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