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Reading the draws and working out what chance predicts.

LotteryOracle

LotteryOracle reports what happened; it does not predict what is next. Every draw is independent — no number is ever "due".

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Lotto · every number

40

Number 40

In Lotto under the 6/45 + 1/45 · Jan 2010 – Oct 2015 rules — 601 draws, 6 from 1–45 (an earlier era).

6/47 + 1/47 · since Oct 20156/45 + 1/45 · Jan 2010 – Oct 2015
89times drawn · chance expected 80 +1.06σ
6draws waiting · a wait this long: 49% for any number
6.7average wait between appearances · chance says 7.5
40longest completed wait · 28% chance of one at least that long
40 is drawn as often as chance explains

Drawn 89 times in 601 draws against 80.1 expected, +1.06σ. Each draw is independent: after 6 draws away it is exactly as likely tonight as a number drawn yesterday. It has also come out as the bonus ball 14 times, counted separately.

40

Number 40, draw by draw

Drawn 89 times in 601 draws · average wait 6.7 draws · longest completed wait 40 · waiting 6 draws now

7 draws: 2010-01-23 to 2010-02-1713 draws: 2010-02-17 to 2010-04-038 draws: 2010-04-03 to 2010-05-011 draws: 2010-05-01 to 2010-05-051 draws: 2010-05-05 to 2010-05-085 draws: 2010-05-08 to 2010-05-266 draws: 2010-05-26 to 2010-06-1615 draws: 2010-06-16 to 2010-08-075 draws: 2010-08-07 to 2010-08-254 draws: 2010-08-25 to 2010-09-0811 draws: 2010-09-08 to 2010-10-161 draws: 2010-10-16 to 2010-10-206 draws: 2010-10-20 to 2010-11-101 draws: 2010-11-10 to 2010-11-135 draws: 2010-11-13 to 2010-12-0114 draws: 2010-12-01 to 2011-01-1910 draws: 2011-01-19 to 2011-02-231 draws: 2011-02-23 to 2011-02-269 draws: 2011-02-26 to 2011-03-307 draws: 2011-03-30 to 2011-04-238 draws: 2011-04-23 to 2011-05-2113 draws: 2011-05-21 to 2011-07-0611 draws: 2011-07-06 to 2011-08-131 draws: 2011-08-13 to 2011-08-172 draws: 2011-08-17 to 2011-08-2411 draws: 2011-08-24 to 2011-10-018 draws: 2011-10-01 to 2011-10-293 draws: 2011-10-29 to 2011-11-091 draws: 2011-11-09 to 2011-11-128 draws: 2011-11-12 to 2011-12-109 draws: 2011-12-10 to 2012-01-113 draws: 2012-01-11 to 2012-01-215 draws: 2012-01-21 to 2012-02-085 draws: 2012-02-08 to 2012-02-256 draws: 2012-02-25 to 2012-03-173 draws: 2012-03-17 to 2012-03-289 draws: 2012-03-28 to 2012-04-2810 draws: 2012-04-28 to 2012-06-025 draws: 2012-06-02 to 2012-06-201 draws: 2012-06-20 to 2012-06-231 draws: 2012-06-23 to 2012-06-279 draws: 2012-06-27 to 2012-07-283 draws: 2012-07-28 to 2012-08-0810 draws: 2012-08-08 to 2012-09-122 draws: 2012-09-12 to 2012-09-194 draws: 2012-09-19 to 2012-10-031 draws: 2012-10-03 to 2012-10-0614 draws: 2012-10-06 to 2012-11-242 draws: 2012-11-24 to 2012-12-0114 draws: 2012-12-01 to 2013-01-1925 draws: 2013-01-19 to 2013-04-178 draws: 2013-04-17 to 2013-05-1510 draws: 2013-05-15 to 2013-06-1911 draws: 2013-06-19 to 2013-07-273 draws: 2013-07-27 to 2013-08-076 draws: 2013-08-07 to 2013-08-287 draws: 2013-08-28 to 2013-09-216 draws: 2013-09-21 to 2013-10-121 draws: 2013-10-12 to 2013-10-162 draws: 2013-10-16 to 2013-10-234 draws: 2013-10-23 to 2013-11-0615 draws: 2013-11-06 to 2013-12-2818 draws: 2013-12-28 to 2014-03-015 draws: 2014-03-01 to 2014-03-1940 draws: 2014-03-19 to 2014-08-064 draws: 2014-08-06 to 2014-08-207 draws: 2014-08-20 to 2014-09-137 draws: 2014-09-13 to 2014-10-081 draws: 2014-10-08 to 2014-10-113 draws: 2014-10-11 to 2014-10-222 draws: 2014-10-22 to 2014-10-294 draws: 2014-10-29 to 2014-11-126 draws: 2014-11-12 to 2014-12-037 draws: 2014-12-03 to 2014-12-271 draws: 2014-12-27 to 2014-12-316 draws: 2014-12-31 to 2015-01-217 draws: 2015-01-21 to 2015-02-148 draws: 2015-02-14 to 2015-03-146 draws: 2015-03-14 to 2015-04-0413 draws: 2015-04-04 to 2015-05-202 draws: 2015-05-20 to 2015-05-271 draws: 2015-05-27 to 2015-05-305 draws: 2015-05-30 to 2015-06-176 draws: 2015-06-17 to 2015-07-084 draws: 2015-07-08 to 2015-07-224 draws: 2015-07-22 to 2015-08-051 draws: 2015-08-05 to 2015-08-0810 draws: 2015-08-08 to 2015-09-12Still waiting — at least 6 draws since 2015-09-122010-01-232010-02-172010-04-032010-05-012010-05-052010-05-082010-05-262010-06-162010-08-072010-08-252010-09-082010-10-162010-10-202010-11-102010-11-132010-12-012011-01-192011-02-232011-02-262011-03-302011-04-232011-05-212011-07-062011-08-132011-08-172011-08-242011-10-012011-10-292011-11-092011-11-122011-12-102012-01-112012-01-212012-02-082012-02-252012-03-172012-03-282012-04-282012-06-022012-06-202012-06-232012-06-272012-07-282012-08-082012-09-122012-09-192012-10-032012-10-062012-11-242012-12-012013-01-192013-04-172013-05-152013-06-192013-07-272013-08-072013-08-282013-09-212013-10-122013-10-162013-10-232013-11-062013-12-282014-03-012014-03-192014-08-062014-08-202014-09-132014-10-082014-10-112014-10-222014-10-292014-11-122014-12-032014-12-272014-12-312015-01-212015-02-142015-03-142015-04-042015-05-202015-05-272015-05-302015-06-172015-07-082015-07-222015-08-052015-08-082015-09-122010-01-022015-10-03

a completed wait — darker is longer the wait still running — a lower bound, not a finished gap

1 draws: 15 times2 draws: 6 times3 draws: 6 times4 draws: 7 times5 draws: 8 times6 draws: 9 times7 draws: 7 times8 draws: 6 times9 draws: 4 times10 draws: 5 times11 draws: 4 times12 draws: 0 times13 draws: 3 times14 draws: 3 times15 draws: 2 times16 draws: 0 times17 draws: 0 times18 draws: 1 time19 draws: 0 times20 draws: 0 times21 draws: 0 times22 draws: 0 times23 draws: 0 times24 draws: 0 times25 draws: 1 time26 draws: 0 times27 draws: 0 times28 draws: 0 times29 draws: 0 times30 draws: 0 times31 draws: 0 times32 draws: 0 times33 draws: 0 times34 draws: 0 times35 draws: 0 times36 draws: 0 times37 draws: 0 times38 draws: 0 times39 draws: 0 times40 draws: 1 time41 draws: 0 timesits own waitsdraws between appearances

Where it lands in a sorted draw

Sort a draw and 40 has a favourite seat — chance gives a large number the high positions more often. That is the shape of sorting, not of the machine.

  • 1st smallest0 · chance 0.0
  • 2nd smallest0 · chance 0.0
  • 3rd smallest0 · chance 0.6
  • 4th smallest8 · chance 7.5
  • 5th smallest36 · chance 33.7
  • 6th smallest45 · chance 47.2

Every position’s lane →

The company it keeps

Seen most often with these — chance gives every partner about 10.1 shared draws, and the leaders are simply the ones that came out ahead this time.

6353638427

It has shared a draw with every one of the other 44 numbers; chance expected about 0.0 still unmet by now. Every pair →

How many people play it

Under the crowd model, 40 is picked about 0.90× as often as an indifferent choice — 32nd most popular of 45. That changes nothing about whether it comes up, and everything about how many ways a jackpot on it would be shared.

  • Numbers above 31 ×0.86
  • Round numbers (multiples of 10) ×1.05

The model and its sources → · What people believe about 40 →

Every draw it appeared in

DateWaitPositionThe draw
2015-09-12106th61215173240
2015-08-0815th92633374044
2015-08-0546th8917333640
2015-07-2246th
← number 39Every numbernumber 41 →
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: 40 is drawn with probability 6/45 tonight whatever it did last week.

6
7
24
37
38
40
2015-07-0865th21021284043
2015-06-1755th101426394043
2015-05-3014th82835404143
2015-05-2726th71824323740
2015-05-20136th121516313840
2015-04-0466th303132353740
2015-03-1486th268343640
2015-02-1476th456113540
2015-01-2166th21622253540
2014-12-3116th262732353640
2014-12-2776th6824273840
2014-12-0365th101417184045
2014-11-1246th61720223840
2014-10-2925th52333374044
2014-10-2235th1713324042
2014-10-1115th22129324042
2014-10-0875th23031384041
2014-09-1375th82433354043
2014-08-2046th212227303240
2014-08-06406th71124323340
The other 65 appearances
2014-03-1954th91237404142
2014-03-01185th61819384042
2013-12-28155th6716224045
2013-11-0645th202627324041
2013-10-2326th143132343540
2013-10-1615th121930384043
2013-10-1266th11015212240
2013-09-2175th42737394045
2013-08-2864th223436404445
2013-08-0736th6727333540
2013-07-27114th92237404244
2013-06-19105th3610274042
2013-05-1585th101323364042
2013-04-17255th162531394043
2013-01-19146th101719263640
2012-12-0124th21117404243
2012-11-24146th71125283040
2012-10-0616th11822263540
2012-10-0346th51416263440
2012-09-1926th22124323640
2012-09-12106th122225323940
2012-08-0835th182134364042
2012-07-2895th61125334043
2012-06-2715th11722234043
2012-06-2315th192227334044
2012-06-2055th153135384045
2012-06-02105th41016224042
2012-04-2895th32432334042
2012-03-2836th111317232840
2012-03-1765th91736384043
2012-02-2556th41119263540
2012-02-0856th157203140
2012-01-2135th3725344044
2012-01-1196th4626293340
2011-12-1086th4913183740
2011-11-1215th3912254042
2011-11-0935th21130364044
2011-10-2986th579212640
2011-10-01115th1520384042
2011-08-2426th81425363840
2011-08-1716th4918383940
2011-08-13116th2515183740
2011-07-06136th101112223740
2011-05-2186th252628353640
2011-04-2376th71011153740
2011-03-3096th4715343940
2011-02-2616th1620273540
2011-02-23105th51217194041
2011-01-19145th22235384044
2010-12-0156th51125273040
2010-11-1314th101136404245
2010-11-1066th61219242940
2010-10-2015th2623364042
2010-10-16115th11315244045
2010-09-0846th41023293040
2010-08-2556th1720243940
2010-08-07154th12332404344
2010-06-1665th262736384043
2010-05-2656th161823333640
2010-05-0815th61733394041
2010-05-0516th71928303540
2010-05-0186th2313153040
2010-04-03134th142426404145
2010-02-1775th101517214044
2010-01-23—6th21518353840