In Oz Lotto under the 7/47 + 3/47 · since May 2022 rules — 232 draws, 7 from 1–47.
51times drawn · chance expected 35 +3.03σ
4draws waiting · a wait this long: 62% for any number
4.5average wait between appearances · chance says 6.7
26longest completed wait · 59% chance of one at least that long
21 looks unusual on its own — and unremarkable among 47 numbers
Drawn 51 times in 232 draws against 34.6 expected, +3.03σ. Testing all 47 numbers at once means about 0.5 should look this way by luck alone, so the threshold tightens to 2.1e-4 and this does not pass it. It has also come out as the bonus ball 12 times, counted separately.
21
Number 21, draw by draw
Drawn 51 times in 232 draws · average wait 4.5 draws · longest completed wait 26 · waiting 4 draws now
a completed wait — darker is longer the wait still running — a lower bound, not a finished gap
Where it lands in a sorted draw
Sort a draw and 21 has a favourite seat — chance gives a small number the low positions more often. That is the shape of sorting, not of the machine.
It has shared a draw with every one of the other 46 numbers; chance expected about 0.1 still unmet by now. Every pair →
How many people play it
Under the crowd model, 21 is picked about 1.22× as often as an indifferent choice — 15th most popular of 47. That changes nothing about whether it comes up, and everything about how many ways a jackpot on it would be shared.
Nothing here predicts the next draw. A number’s history is a record of a fair machine’s past, and the machine keeps none of it: 21 is drawn with probability 7/47 tonight whatever it did last week.