SA PowerBall: 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 19.8 % / 10.0 %
Δ 28.7 % / 9.2 %
Δ 38.7 % / 8.4 %
Δ 47.8 % / 7.7 %
Δ 57.3 % / 7.0 %
Δ 66.2 % / 6.4 %
Δ 75.9 % / 5.8 %
Δ 85.6 % / 5.3 %
Δ 95.1 % / 4.8 %
Δ 104.0 % / 4.3 %
Δ 113.3 % / 3.9 %
Δ 123.7 % / 3.5 %
Δ 133.5 % / 3.1 %
Δ 142.4 % / 2.8 %
Δ 152.6 % / 2.5 %
Δ 162.5 % / 2.2 %
Δ 171.8 % / 1.9 %
Δ 181.6 % / 1.7 %
Δ 191.5 % / 1.5 %
Δ 201.5 % / 1.3 %
Δ 211.1 % / 1.1 %
Δ 221.0 % / 1.0 %
Δ 230.7 % / 0.8 %
Δ 240.8 % / 0.7 %
Δ 250.6 % / 0.6 %
Δ 260.5 % / 0.5 %
Δ 270.3 % / 0.4 %
Δ 280.5 % / 0.3 %
Δ 290.4 % / 0.3 %
Δ 300.2 % / 0.2 %
Δ 310.2 % / 0.2 %
Δ 320.1 % / 0.1 %
Δ 330.1 % / 0.1 %
Δ 340.0 % / 0.1 %
Δ 350.0 % / 0.1 %
Δ 370.1 % / 0.0 %
Δ 420.0 % / 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
13.10.20263 15 24 30 313 · 12 · 9 · 6 · 1
09.10.20263 14 17 19 373 · 11 · 3 · 2 · 18
06.10.202612 18 21 35 4612 · 6 · 3 · 14 · 11
02.10.202615 26 27 28 3915 · 11 · 1 · 1 · 11
29.09.202617 19 24 43 4417 · 2 · 5 · 19 · 1
25.09.20265 9 22 34 385 · 4 · 13 · 12 · 4
22.09.20262 28 31 38 502 · 26 · 3 · 7 · 12
18.09.20262 4 6 8 432 · 2 · 2 · 2 · 35
15.09.20267 23 25 27 507 · 16 · 2 · 2 · 23
11.09.20269 11 13 38 439 · 2 · 2 · 25 · 5
08.09.20264 8 13 37 494 · 4 · 5 · 24 · 12
04.09.20264 7 27 38 504 · 3 · 20 · 11 · 12

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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