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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

13

Number 13

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
70times drawn · chance expected 80 −1.22σ
22draws waiting · a wait this long: 5% for any number
8.3average wait between appearances · chance says 7.5
51longest completed wait · 5% chance of one at least that long
13 is drawn as often as chance explains

Drawn 70 times in 601 draws against 80.1 expected, −1.22σ. Each draw is independent: after 22 draws away it is exactly as likely tonight as a number drawn yesterday. It has also come out as the bonus ball 10 times, counted separately.

13

Number 13, draw by draw

Drawn 70 times in 601 draws · average wait 8.3 draws · longest completed wait 51 · waiting 22 draws now

2 draws: 2010-01-09 to 2010-01-164 draws: 2010-01-16 to 2010-01-309 draws: 2010-01-30 to 2010-03-035 draws: 2010-03-03 to 2010-03-207 draws: 2010-03-20 to 2010-04-145 draws: 2010-04-14 to 2010-05-0117 draws: 2010-05-01 to 2010-06-302 draws: 2010-06-30 to 2010-07-072 draws: 2010-07-07 to 2010-07-149 draws: 2010-07-14 to 2010-08-144 draws: 2010-08-14 to 2010-08-286 draws: 2010-08-28 to 2010-09-183 draws: 2010-09-18 to 2010-09-292 draws: 2010-09-29 to 2010-10-063 draws: 2010-10-06 to 2010-10-163 draws: 2010-10-16 to 2010-10-2721 draws: 2010-10-27 to 2011-01-0836 draws: 2011-01-08 to 2011-05-141 draws: 2011-05-14 to 2011-05-183 draws: 2011-05-18 to 2011-05-284 draws: 2011-05-28 to 2011-06-1111 draws: 2011-06-11 to 2011-07-209 draws: 2011-07-20 to 2011-08-2025 draws: 2011-08-20 to 2011-11-167 draws: 2011-11-16 to 2011-12-1013 draws: 2011-12-10 to 2012-01-252 draws: 2012-01-25 to 2012-02-014 draws: 2012-02-01 to 2012-02-152 draws: 2012-02-15 to 2012-02-223 draws: 2012-02-22 to 2012-03-037 draws: 2012-03-03 to 2012-03-2810 draws: 2012-03-28 to 2012-05-023 draws: 2012-05-02 to 2012-05-127 draws: 2012-05-12 to 2012-06-061 draws: 2012-06-06 to 2012-06-092 draws: 2012-06-09 to 2012-06-165 draws: 2012-06-16 to 2012-07-043 draws: 2012-07-04 to 2012-07-1415 draws: 2012-07-14 to 2012-09-0529 draws: 2012-09-05 to 2012-12-158 draws: 2012-12-15 to 2013-01-124 draws: 2013-01-12 to 2013-01-263 draws: 2013-01-26 to 2013-02-0618 draws: 2013-02-06 to 2013-04-1010 draws: 2013-04-10 to 2013-05-157 draws: 2013-05-15 to 2013-06-0851 draws: 2013-06-08 to 2013-12-042 draws: 2013-12-04 to 2013-12-114 draws: 2013-12-11 to 2013-12-267 draws: 2013-12-26 to 2014-01-1811 draws: 2014-01-18 to 2014-02-265 draws: 2014-02-26 to 2014-03-1510 draws: 2014-03-15 to 2014-04-191 draws: 2014-04-19 to 2014-04-234 draws: 2014-04-23 to 2014-05-071 draws: 2014-05-07 to 2014-05-107 draws: 2014-05-10 to 2014-06-046 draws: 2014-06-04 to 2014-06-2510 draws: 2014-06-25 to 2014-07-3010 draws: 2014-07-30 to 2014-09-0312 draws: 2014-09-03 to 2014-10-152 draws: 2014-10-15 to 2014-10-2225 draws: 2014-10-22 to 2015-01-174 draws: 2015-01-17 to 2015-01-3123 draws: 2015-01-31 to 2015-04-224 draws: 2015-04-22 to 2015-05-061 draws: 2015-05-06 to 2015-05-0915 draws: 2015-05-09 to 2015-07-015 draws: 2015-07-01 to 2015-07-18Still waiting — at least 22 draws since 2015-07-182010-01-092010-01-162010-01-302010-03-032010-03-202010-04-142010-05-012010-06-302010-07-072010-07-142010-08-142010-08-282010-09-182010-09-292010-10-062010-10-162010-10-272011-01-082011-05-142011-05-182011-05-282011-06-112011-07-202011-08-202011-11-162011-12-102012-01-252012-02-012012-02-152012-02-222012-03-032012-03-282012-05-022012-05-122012-06-062012-06-092012-06-162012-07-042012-07-142012-09-052012-12-152013-01-122013-01-262013-02-062013-04-102013-05-152013-06-082013-12-042013-12-112013-12-262014-01-182014-02-262014-03-152014-04-192014-04-232014-05-072014-05-102014-06-042014-06-252014-07-302014-09-032014-10-152014-10-222015-01-172015-01-312015-04-222015-05-062015-05-092015-07-012015-07-182010-01-022015-10-03

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

1 draws: 5 times2 draws: 9 times3 draws: 8 times4 draws: 9 times5 draws: 5 times6 draws: 2 times7 draws: 7 times8 draws: 1 time9 draws: 3 times10 draws: 5 times11 draws: 2 times12 draws: 1 time13 draws: 1 time14 draws: 0 times15 draws: 2 times16 draws: 0 times17 draws: 1 time18 draws: 1 time19 draws: 0 times20 draws: 0 times21 draws: 1 time22 draws: 0 times23 draws: 1 time24 draws: 0 times25 draws: 2 times26 draws: 0 times27 draws: 0 times28 draws: 0 times29 draws: 1 time30 draws: 0 times31 draws: 0 times32 draws: 0 times33 draws: 0 times34 draws: 0 times35 draws: 0 times36 draws: 1 time37 draws: 0 times38 draws: 0 times39 draws: 0 times40 draws: 0 times41 draws: 0 times42 draws: 0 times43 draws: 0 times44 draws: 0 times45 draws: 0 times46 draws: 0 times47 draws: 0 times48 draws: 0 times49 draws: 0 times50 draws: 0 times51 draws: 1 time52 draws: 0 timesits own waitsdraws between appearances

Where it lands in a sorted draw

Sort a draw and 13 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 smallest9 · chance 13.0
  • 2nd smallest31 · chance 27.8
  • 3rd smallest20 · chance 21.1
  • 4th smallest9 · chance 7.0
  • 5th smallest1 · chance 1.0
  • 6th smallest0 · chance 0.1

Every position’s lane →

The company it keeps

Seen most often with these — chance gives every partner about 8.0 shared draws, and the leaders are simply the ones that came out ahead this time.

202424267

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, 13 is picked about 0.92× as often as an indifferent choice — 31st 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 1–31 — the birthday zone ×1.22
  • The number 13, in Western markets ×0.75

The model and its sources → · What people believe about 13 →

Every draw it appeared in

DateWaitPositionThe draw
2015-07-1853rd71013242735
2015-07-01152nd61316293442
2015-05-0913rd2513173234
2015-05-0642nd
← number 12Every numbernumber 14 →
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: 13 is drawn with probability 6/45 tonight whatever it did last week.

6
13
18
24
29
41
2015-04-22231st132022283339
2015-01-3144th268133044
2015-01-17252nd81322234345
2014-10-2223rd1713324042
2014-10-15122nd81320222933
2014-09-03103rd4613224143
2014-07-30103rd7813182441
2014-06-2563rd71113202643
2014-06-0471st131424313543
2014-05-1012nd51322243338
2014-05-0742nd91320353839
2014-04-2314th5612132530
2014-04-19101st131622263643
2014-03-1553rd71013273438
2014-02-26112nd91327283439
2014-01-1873rd4513212937
2013-12-2642nd11315222437
2013-12-1122nd21315313342
2013-12-04511st131631434445
2013-06-0874th1410131417
The other 46 appearances
2013-05-15102nd101323364042
2013-04-10183rd6713344445
2013-02-0634th359132542
2013-01-2643rd3913202141
2013-01-1282nd21322243233
2012-12-15292nd31315222630
2012-09-05153rd41213233638
2012-07-1431st132526414243
2012-07-0452nd71321313642
2012-06-1624th269133036
2012-06-0911st131726333645
2012-06-0672nd121318243944
2012-05-1232nd31314213542
2012-05-02103rd8913142036
2012-03-2872nd111317232840
2012-03-0332nd121325364145
2012-02-2222nd111315202833
2012-02-1545th168101314
2012-02-0122nd21320232630
2012-01-25133rd11113141537
2011-12-1073rd4913183740
2011-11-16254th5911132843
2011-08-2092nd11329344243
2011-07-20114th3610131434
2011-06-1143rd21113182030
2011-05-2832nd11316172022
2011-05-1813rd21213153242
2011-05-14364th2612132629
2011-01-08213rd5913172438
2010-10-2732nd31315232939
2010-10-1632nd11315244045
2010-10-0622nd71317293739
2010-09-2931st132023264144
2010-09-1863rd4913222739
2010-08-2841st132330374345
2010-08-1492nd91315212338
2010-07-1422nd51331364243
2010-07-0724th257132034
2010-06-30172nd71316232639
2010-05-0153rd2313153040
2010-04-1472nd61324333438
2010-03-2051st132024283441
2010-03-0392nd71315363739
2010-01-3043rd3413293436
2010-01-1622nd41316193045
2010-01-09—2nd21324293242