Powerball · every number
3
Number 3 In Powerball under the 5/49 + 1/42 · Nov 1997 – Oct 2002 rules — 514 draws, 5 from 1–49 (an earlier era).
Main numbers Stars 5/69 + 1/26 · since Oct 2015 5/59 + 1/35 · Jan 2012 – Oct 2015 5/59 + 1/39 · Jan 2009 – Jan 2012 5/55 + 1/42 · Aug 2005 – Jan 2009 5/53 + 1/42 · Oct 2002 – Aug 2005 5/49 + 1/42 · Nov 1997 – Oct 2002 5/45 + 1/45 · Apr 1992 – Nov 1997 57 times drawn · chance expected 52 +0.66σ
4 draws waiting · a wait this long: 72% for any number
9.0 average wait between appearances · chance says 9.8
69 longest completed wait · 4% chance of one at least that long
3 is drawn as often as chance explains Drawn 57 times in 514 draws against 52.4 expected, +0.66σ. Each draw is independent: after 4 draws away it is exactly as likely tonight as a number drawn yesterday.
3 Number 3, draw by draw Drawn 57 times in 514 draws · average wait 9.0 draws · longest completed wait 69 · waiting 4 draws now
1 draws: 1997-11-19 to 1997-11-22 7 draws: 1997-11-22 to 1997-12-17 2 draws: 1997-12-17 to 1997-12-24 4 draws: 1997-12-24 to 1998-01-07 16 draws: 1998-01-07 to 1998-03-04 9 draws: 1998-03-04 to 1998-04-04 1 draws: 1998-04-04 to 1998-04-08 7 draws: 1998-04-08 to 1998-05-02 8 draws: 1998-05-02 to 1998-05-30 4 draws: 1998-05-30 to 1998-06-13 5 draws: 1998-06-13 to 1998-07-01 7 draws: 1998-07-01 to 1998-07-25 3 draws: 1998-07-25 to 1998-08-05 15 draws: 1998-08-05 to 1998-09-26 1 draws: 1998-09-26 to 1998-09-30 13 draws: 1998-09-30 to 1998-11-14 9 draws: 1998-11-14 to 1998-12-16 1 draws: 1998-12-16 to 1998-12-19 10 draws: 1998-12-19 to 1999-01-23 19 draws: 1999-01-23 to 1999-03-31 3 draws: 1999-03-31 to 1999-04-10 3 draws: 1999-04-10 to 1999-04-21 1 draws: 1999-04-21 to 1999-04-24 21 draws: 1999-04-24 to 1999-07-07 34 draws: 1999-07-07 to 1999-11-03 7 draws: 1999-11-03 to 1999-11-27 1 draws: 1999-11-27 to 1999-12-01 5 draws: 1999-12-01 to 1999-12-18 3 draws: 1999-12-18 to 1999-12-29 19 draws: 1999-12-29 to 2000-03-04 5 draws: 2000-03-04 to 2000-03-22 3 draws: 2000-03-22 to 2000-04-01 5 draws: 2000-04-01 to 2000-04-19 1 draws: 2000-04-19 to 2000-04-22 6 draws: 2000-04-22 to 2000-05-13 21 draws: 2000-05-13 to 2000-07-26 20 draws: 2000-07-26 to 2000-10-04 6 draws: 2000-10-04 to 2000-10-25 7 draws: 2000-10-25 to 2000-11-18 29 draws: 2000-11-18 to 2001-02-28 13 draws: 2001-02-28 to 2001-04-14 21 draws: 2001-04-14 to 2001-06-27 1 draws: 2001-06-27 to 2001-06-30 1 draws: 2001-06-30 to 2001-07-04 1 draws: 2001-07-04 to 2001-07-07 4 draws: 2001-07-07 to 2001-07-21 8 draws: 2001-07-21 to 2001-08-18 69 draws: 2001-08-18 to 2002-04-17 4 draws: 2002-04-17 to 2002-05-01 3 draws: 2002-05-01 to 2002-05-11 11 draws: 2002-05-11 to 2002-06-19 7 draws: 2002-06-19 to 2002-07-13 2 draws: 2002-07-13 to 2002-07-20 8 draws: 2002-07-20 to 2002-08-17 7 draws: 2002-08-17 to 2002-09-11 3 draws: 2002-09-11 to 2002-09-21 Still waiting — at least 4 draws since 2002-09-21 1997-11-19 1997-11-22 1997-12-17 1997-12-24 1998-01-07 1998-03-04 1998-04-04 1998-04-08 1998-05-02 1998-05-30 1998-06-13 1998-07-01 1998-07-25 1998-08-05 1998-09-26 1998-09-30 1998-11-14 1998-12-16 1998-12-19 1999-01-23 1999-03-31 1999-04-10 1999-04-21 1999-04-24 1999-07-07 1999-11-03 1999-11-27 1999-12-01 1999-12-18 1999-12-29 2000-03-04 2000-03-22 2000-04-01 2000-04-19 2000-04-22 2000-05-13 2000-07-26 2000-10-04 2000-10-25 2000-11-18 2001-02-28 2001-04-14 2001-06-27 2001-06-30 2001-07-04 2001-07-07 2001-07-21 2001-08-18 2002-04-17 2002-05-01 2002-05-11 2002-06-19 2002-07-13 2002-07-20 2002-08-17 2002-09-11 2002-09-21 1997-11-05 2002-10-05
1 draws: 10 times 2 draws: 2 times 3 draws: 7 times 4 draws: 4 times 5 draws: 4 times 6 draws: 2 times 7 draws: 7 times 8 draws: 3 times 9 draws: 2 times 10 draws: 1 time 11 draws: 1 time 12 draws: 0 times 13 draws: 2 times 14 draws: 0 times 15 draws: 1 time 16 draws: 1 time 17 draws: 0 times 18 draws: 0 times 19 draws: 2 times 20 draws: 1 time 21 draws: 3 times 22 draws: 0 times 23 draws: 0 times 24 draws: 0 times 25 draws: 0 times 26 draws: 0 times 27 draws: 0 times 28 draws: 0 times 29 draws: 1 time 30 draws: 0 times 31 draws: 0 times 32 draws: 0 times 33 draws: 0 times 34 draws: 1 time 35 draws: 0 times 36 draws: 0 times 37 draws: 0 times 38 draws: 0 times 39 draws: 0 times 40 draws: 0 times 41 draws: 0 times 42 draws: 0 times 43 draws: 0 times 44 draws: 0 times 45 draws: 0 times 46 draws: 0 times 47 draws: 0 times 48 draws: 0 times 49 draws: 0 times 50 draws: 0 times 51 draws: 0 times 52 draws: 0 times 53 draws: 0 times 54 draws: 0 times 55 draws: 0 times 56 draws: 0 times 57 draws: 0 times 58 draws: 0 times 59 draws: 0 times 60 draws: 0 times 61 draws: 0 times 62 draws: 0 times 63 draws: 0 times 64 draws: 0 times 65 draws: 0 times 66 draws: 0 times 67 draws: 0 times 68 draws: 0 times 69 draws: 1 time 70 draws: 0 times its own waits draws between appearances Where it lands in a sorted draw Sort a draw and 3 has a favourite seat — chance gives a small number the low positions more often. That is the shape of sorting, not of the machine.
1st smallest 47 · chance 47.8 2nd smallest 10 · chance 8.9 3rd smallest 0 · chance 0.3 4th smallest 0 · chance 0.0 5th smallest 0 · chance 0.0 Every position’s lane →
The company it keeps Seen most often with these — chance gives every partner about 4.8 shared draws, and the leaders are simply the ones that came out ahead this time.
It has shared a draw with every one of the other 48 numbers; chance expected about 0.4 still unmet by now. Every pair →
How many people play it Under the crowd model, 3 is picked about 1.48× as often as an indifferent choice — 2nd most popular of 49. That changes nothing about whether it comes up, and everything about how many ways a jackpot on it would be shared.
Numbers 1–31 — the birthday zone ×1.22 Numbers 1–12 — day and month overlap ×1.10 Culturally lucky numbers 3, 8, 9 ×1.10 The model and its sources → · What people believe about 3 →
Every draw it appeared in ← number 2 Every number number 4 → What this cannot tell you 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: 3 is drawn with probability 5/49 tonight whatever it did last week.