EuroMillions: 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 1988 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 19.7 % / 10.0 %
Δ 29.0 % / 9.2 %
Δ 38.6 % / 8.4 %
Δ 47.5 % / 7.7 %
Δ 57.1 % / 7.0 %
Δ 66.3 % / 6.4 %
Δ 76.0 % / 5.8 %
Δ 85.0 % / 5.3 %
Δ 94.8 % / 4.8 %
Δ 104.6 % / 4.3 %
Δ 113.8 % / 3.9 %
Δ 123.6 % / 3.5 %
Δ 133.1 % / 3.1 %
Δ 142.9 % / 2.8 %
Δ 152.6 % / 2.5 %
Δ 162.1 % / 2.2 %
Δ 171.9 % / 1.9 %
Δ 181.9 % / 1.7 %
Δ 191.6 % / 1.5 %
Δ 201.2 % / 1.3 %
Δ 211.1 % / 1.1 %
Δ 220.9 % / 1.0 %
Δ 230.8 % / 0.8 %
Δ 240.8 % / 0.7 %
Δ 250.6 % / 0.6 %
Δ 260.5 % / 0.5 %
Δ 270.4 % / 0.4 %
Δ 280.4 % / 0.3 %
Δ 290.3 % / 0.3 %
Δ 300.1 % / 0.2 %
Δ 310.2 % / 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 390.0 % / 0.0 %
Δ 400.0 % / 0.0 %

80% of deltas are between 1 and 14. Average delta: observed 8.54, expected 8.50.

Deltas of the latest draws

DateWinning numbersΔ
09.10.20265 20 24 31 455 · 15 · 4 · 7 · 14
06.10.202618 22 32 41 4818 · 4 · 10 · 9 · 7
02.10.20267 8 10 22 357 · 1 · 2 · 12 · 13
29.09.20264 7 12 31 444 · 3 · 5 · 19 · 13
25.09.202611 12 15 38 4911 · 1 · 3 · 23 · 11
22.09.202613 14 16 44 5013 · 1 · 2 · 28 · 6
18.09.20268 17 25 30 448 · 9 · 8 · 5 · 14
15.09.202610 16 18 22 2810 · 6 · 2 · 4 · 6
11.09.20261 7 15 39 501 · 6 · 8 · 24 · 11
08.09.202613 17 33 35 3913 · 4 · 16 · 2 · 4
04.09.202611 12 19 27 4611 · 1 · 7 · 8 · 19
01.09.20262 10 23 37 472 · 8 · 13 · 14 · 10

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.
    ▲