PowerBall XTRA: 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 868 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 110.2 % / 10.0 %
Δ 29.2 % / 9.2 %
Δ 38.8 % / 8.4 %
Δ 47.4 % / 7.7 %
Δ 57.3 % / 7.0 %
Δ 66.1 % / 6.4 %
Δ 75.5 % / 5.8 %
Δ 85.0 % / 5.3 %
Δ 94.8 % / 4.8 %
Δ 104.1 % / 4.3 %
Δ 113.5 % / 3.9 %
Δ 123.4 % / 3.5 %
Δ 132.9 % / 3.1 %
Δ 143.3 % / 2.8 %
Δ 152.9 % / 2.5 %
Δ 162.4 % / 2.2 %
Δ 171.9 % / 1.9 %
Δ 181.8 % / 1.7 %
Δ 191.8 % / 1.5 %
Δ 201.2 % / 1.3 %
Δ 211.3 % / 1.1 %
Δ 220.9 % / 1.0 %
Δ 230.7 % / 0.8 %
Δ 240.6 % / 0.7 %
Δ 250.5 % / 0.6 %
Δ 260.5 % / 0.5 %
Δ 270.4 % / 0.4 %
Δ 280.3 % / 0.3 %
Δ 290.3 % / 0.3 %
Δ 300.1 % / 0.2 %
Δ 310.2 % / 0.2 %
Δ 320.1 % / 0.1 %
Δ 330.2 % / 0.1 %
Δ 340.0 % / 0.1 %
Δ 350.1 % / 0.1 %
Δ 360.0 % / 0.0 %
Δ 370.1 % / 0.0 %
Δ 380.0 % / 0.0 %
Δ 400.0 % / 0.0 %

80% of deltas are between 1 and 14. Average delta: observed 8.48, expected 8.50.

Deltas of the latest draws

DateWinning numbersΔ
13.10.202619 39 40 41 4819 · 20 · 1 · 1 · 7
09.10.20262 38 40 44 462 · 36 · 2 · 4 · 2
06.10.20262 9 23 25 362 · 7 · 14 · 2 · 11
02.10.202633 36 40 41 4233 · 3 · 4 · 1 · 1
29.09.202617 18 22 34 5017 · 1 · 4 · 12 · 16
25.09.20266 9 15 24 346 · 3 · 6 · 9 · 10
22.09.20265 14 33 43 495 · 9 · 19 · 10 · 6
18.09.20264 13 21 32 484 · 9 · 8 · 11 · 16
15.09.20265 16 24 36 495 · 11 · 8 · 12 · 13
11.09.202619 24 25 42 4819 · 5 · 1 · 17 · 6
08.09.202614 18 33 49 5014 · 4 · 15 · 16 · 1
04.09.202631 37 39 41 4931 · 6 · 2 · 2 · 8

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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