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Reading the draws and working out what chance predicts.

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

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Texas Two Step · every number

21

Number 21

In Texas Two Step under the 4/35 + 1/35 · Jan 2010 – Feb 2022 rules — 1,266 draws, 4 from 1–35 (an earlier era).

Main numbersStars4/35 + 1/35 · since Sep 20254/35 + 1/0 · Nov 2022 – Sep 20255/35 · Feb 2022 – Nov 20224/35 + 1/35 · Jan 2010 – Feb 2022
144times drawn · chance expected 145 −0.06σ
3draws waiting · a wait this long: 78% for any number
8.7average wait between appearances · chance says 8.8
42longest completed wait · 63% chance of one at least that long
21 is drawn as often as chance explains

Drawn 144 times in 1,266 draws against 144.7 expected, −0.06σ. Each draw is independent: after 3 draws away it is exactly as likely tonight as a number drawn yesterday.

21

Number 21, draw by draw

Drawn 144 times in 1,266 draws · average wait 8.7 draws · longest completed wait 42 · waiting 3 draws now

3 draws: 2010-03-25 to 2010-04-0526 draws: 2010-04-05 to 2010-07-051 draws: 2010-07-05 to 2010-07-083 draws: 2010-07-08 to 2010-07-198 draws: 2010-07-19 to 2010-08-1614 draws: 2010-08-16 to 2010-10-041 draws: 2010-10-04 to 2010-10-073 draws: 2010-10-07 to 2010-10-1814 draws: 2010-10-18 to 2010-12-065 draws: 2010-12-06 to 2010-12-2320 draws: 2010-12-23 to 2011-03-0317 draws: 2011-03-03 to 2011-05-0211 draws: 2011-05-02 to 2011-06-091 draws: 2011-06-09 to 2011-06-135 draws: 2011-06-13 to 2011-06-308 draws: 2011-06-30 to 2011-07-2818 draws: 2011-07-28 to 2011-09-2912 draws: 2011-09-29 to 2011-11-1014 draws: 2011-11-10 to 2011-12-2916 draws: 2011-12-29 to 2012-02-239 draws: 2012-02-23 to 2012-03-263 draws: 2012-03-26 to 2012-04-0510 draws: 2012-04-05 to 2012-05-109 draws: 2012-05-10 to 2012-06-112 draws: 2012-06-11 to 2012-06-186 draws: 2012-06-18 to 2012-07-096 draws: 2012-07-09 to 2012-07-301 draws: 2012-07-30 to 2012-08-0214 draws: 2012-08-02 to 2012-09-202 draws: 2012-09-20 to 2012-09-2713 draws: 2012-09-27 to 2012-11-1217 draws: 2012-11-12 to 2013-01-1014 draws: 2013-01-10 to 2013-02-2812 draws: 2013-02-28 to 2013-04-117 draws: 2013-04-11 to 2013-05-067 draws: 2013-05-06 to 2013-05-3012 draws: 2013-05-30 to 2013-07-119 draws: 2013-07-11 to 2013-08-122 draws: 2013-08-12 to 2013-08-191 draws: 2013-08-19 to 2013-08-225 draws: 2013-08-22 to 2013-09-095 draws: 2013-09-09 to 2013-09-265 draws: 2013-09-26 to 2013-10-141 draws: 2013-10-14 to 2013-10-1738 draws: 2013-10-17 to 2014-02-276 draws: 2014-02-27 to 2014-03-201 draws: 2014-03-20 to 2014-03-242 draws: 2014-03-24 to 2014-03-311 draws: 2014-03-31 to 2014-04-032 draws: 2014-04-03 to 2014-04-101 draws: 2014-04-10 to 2014-04-1411 draws: 2014-04-14 to 2014-05-228 draws: 2014-05-22 to 2014-06-1912 draws: 2014-06-19 to 2014-07-313 draws: 2014-07-31 to 2014-08-1124 draws: 2014-08-11 to 2014-11-0314 draws: 2014-11-03 to 2014-12-223 draws: 2014-12-22 to 2015-01-011 draws: 2015-01-01 to 2015-01-053 draws: 2015-01-05 to 2015-01-152 draws: 2015-01-15 to 2015-01-2216 draws: 2015-01-22 to 2015-03-191 draws: 2015-03-19 to 2015-03-2311 draws: 2015-03-23 to 2015-04-3013 draws: 2015-04-30 to 2015-06-152 draws: 2015-06-15 to 2015-06-221 draws: 2015-06-22 to 2015-06-2528 draws: 2015-06-25 to 2015-10-012 draws: 2015-10-01 to 2015-10-083 draws: 2015-10-08 to 2015-10-193 draws: 2015-10-19 to 2015-10-294 draws: 2015-10-29 to 2015-11-1222 draws: 2015-11-12 to 2016-01-2842 draws: 2016-01-28 to 2016-06-2311 draws: 2016-06-23 to 2016-08-016 draws: 2016-08-01 to 2016-08-221 draws: 2016-08-22 to 2016-08-255 draws: 2016-08-25 to 2016-09-1210 draws: 2016-09-12 to 2016-10-1717 draws: 2016-10-17 to 2016-12-151 draws: 2016-12-15 to 2016-12-1922 draws: 2016-12-19 to 2017-03-063 draws: 2017-03-06 to 2017-03-168 draws: 2017-03-16 to 2017-04-1333 draws: 2017-04-13 to 2017-08-071 draws: 2017-08-07 to 2017-08-104 draws: 2017-08-10 to 2017-08-2412 draws: 2017-08-24 to 2017-10-0512 draws: 2017-10-05 to 2017-11-164 draws: 2017-11-16 to 2017-11-305 draws: 2017-11-30 to 2017-12-1823 draws: 2017-12-18 to 2018-03-087 draws: 2018-03-08 to 2018-04-059 draws: 2018-04-05 to 2018-05-0735 draws: 2018-05-07 to 2018-09-065 draws: 2018-09-06 to 2018-09-2411 draws: 2018-09-24 to 2018-11-0112 draws: 2018-11-01 to 2018-12-138 draws: 2018-12-13 to 2019-01-101 draws: 2019-01-10 to 2019-01-1418 draws: 2019-01-14 to 2019-03-181 draws: 2019-03-18 to 2019-03-212 draws: 2019-03-21 to 2019-03-282 draws: 2019-03-28 to 2019-04-043 draws: 2019-04-04 to 2019-04-155 draws: 2019-04-15 to 2019-05-022 draws: 2019-05-02 to 2019-05-0923 draws: 2019-05-09 to 2019-07-296 draws: 2019-07-29 to 2019-08-198 draws: 2019-08-19 to 2019-09-1622 draws: 2019-09-16 to 2019-12-028 draws: 2019-12-02 to 2019-12-3012 draws: 2019-12-30 to 2020-02-102 draws: 2020-02-10 to 2020-02-1732 draws: 2020-02-17 to 2020-06-088 draws: 2020-06-08 to 2020-07-0614 draws: 2020-07-06 to 2020-08-2411 draws: 2020-08-24 to 2020-10-011 draws: 2020-10-01 to 2020-10-058 draws: 2020-10-05 to 2020-11-023 draws: 2020-11-02 to 2020-11-123 draws: 2020-11-12 to 2020-11-231 draws: 2020-11-23 to 2020-11-2612 draws: 2020-11-26 to 2021-01-072 draws: 2021-01-07 to 2021-01-144 draws: 2021-01-14 to 2021-01-2822 draws: 2021-01-28 to 2021-04-157 draws: 2021-04-15 to 2021-05-108 draws: 2021-05-10 to 2021-06-072 draws: 2021-06-07 to 2021-06-1418 draws: 2021-06-14 to 2021-08-165 draws: 2021-08-16 to 2021-09-021 draws: 2021-09-02 to 2021-09-064 draws: 2021-09-06 to 2021-09-201 draws: 2021-09-20 to 2021-09-233 draws: 2021-09-23 to 2021-10-0415 draws: 2021-10-04 to 2021-11-257 draws: 2021-11-25 to 2021-12-201 draws: 2021-12-20 to 2021-12-233 draws: 2021-12-23 to 2022-01-032 draws: 2022-01-03 to 2022-01-107 draws: 2022-01-10 to 2022-02-032 draws: 2022-02-03 to 2022-02-10Still waiting — at least 3 draws since 2022-02-102010-03-252010-04-052010-07-052010-07-082010-07-192010-08-162010-10-042010-10-072010-10-182010-12-062010-12-232011-03-032011-05-022011-06-092011-06-132011-06-302011-07-282011-09-292011-11-102011-12-292012-02-232012-03-262012-04-052012-05-102012-06-112012-06-182012-07-092012-07-302012-08-022012-09-202012-09-272012-11-122013-01-102013-02-282013-04-112013-05-062013-05-302013-07-112013-08-122013-08-192013-08-222013-09-092013-09-262013-10-142013-10-172014-02-272014-03-202014-03-242014-03-312014-04-032014-04-102014-04-142014-05-222014-06-192014-07-312014-08-112014-11-032014-12-222015-01-012015-01-052015-01-152015-01-222015-03-192015-03-232015-04-302015-06-152015-06-222015-06-252015-10-012015-10-082015-10-192015-10-292015-11-122016-01-282016-06-232016-08-012016-08-222016-08-252016-09-122016-10-172016-12-152016-12-192017-03-062017-03-162017-04-132017-08-072017-08-102017-08-242017-10-052017-11-162017-11-302017-12-182018-03-082018-04-052018-05-072018-09-062018-09-242018-11-012018-12-132019-01-102019-01-142019-03-182019-03-212019-03-282019-04-042019-04-152019-05-022019-05-092019-07-292019-08-192019-09-162019-12-022019-12-302020-02-102020-02-172020-06-082020-07-062020-08-242020-10-012020-10-052020-11-022020-11-122020-11-232020-11-262021-01-072021-01-142021-01-282021-04-152021-05-102021-06-072021-06-142021-08-162021-09-022021-09-062021-09-202021-09-232021-10-042021-11-252021-12-202021-12-232022-01-032022-01-102022-02-032022-02-102010-01-042022-02-21

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

1 draws: 22 times2 draws: 16 times3 draws: 15 times4 draws: 5 times5 draws: 10 times6 draws: 5 times7 draws: 6 times8 draws: 10 times9 draws: 4 times10 draws: 2 times11 draws: 6 times12 draws: 9 times13 draws: 2 times14 draws: 7 times15 draws: 1 time16 draws: 2 times17 draws: 3 times18 draws: 3 times19 draws: 0 times20 draws: 1 time21 draws: 0 times22 draws: 4 times23 draws: 2 times24 draws: 1 time25 draws: 0 times26 draws: 1 time27 draws: 0 times28 draws: 1 time29 draws: 0 times30 draws: 0 times31 draws: 0 times32 draws: 1 time33 draws: 1 time34 draws: 0 times35 draws: 1 time36 draws: 0 times37 draws: 0 times38 draws: 1 time39 draws: 0 times40 draws: 0 times41 draws: 0 times42 draws: 1 time43 draws: 0 timesits own waitsdraws between appearances

Where it lands in a sorted draw

Sort a draw and 21 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 smallest14 · chance 8.8
  • 2nd smallest41 · chance 43.8
  • 3rd smallest57 · chance 64.0
  • 4th smallest32 · chance 27.4

Every position’s lane →

The company it keeps

Seen most often with these — chance gives every partner about 12.7 shared draws, and the leaders are simply the ones that came out ahead this time.

13422321525

It has shared a draw with every one of the other 34 numbers; chance expected about 0.0 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 35. 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 model and its sources → · What people believe about 21 →

Every draw it appeared in

DateWaitPositionThe draw
2022-02-1024th13161721
2022-02-0372nd18212428
2022-01-1022nd16212233
2022-01-0332nd2212933
← number 20Every numbernumber 22 →
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: 21 is drawn with probability 4/35 tonight whatever it did last week.

2021-12-2313rd3132134
2021-12-2072nd17212434
2021-11-25153rd252126
2021-10-0432nd11212228
2021-09-2312nd4212634
2021-09-2041st21252830
2021-09-0614th7131621
2021-09-0252nd19212530
2021-08-16182nd16212632
2021-06-1423rd11202129
2021-06-0781st21313235
2021-05-1073rd5172132
2021-04-15223rd392122
2021-01-2843rd1152125
2021-01-1421st21232629
2021-01-07123rd1172123
2020-11-2613rd4132134
2020-11-2332nd4212932
2020-11-1232nd10212632
2020-11-0282nd4212428
The other 120 appearances
2020-10-0514th491921
2020-10-01114th791421
2020-08-24143rd10112128
2020-07-0684th171521
2020-06-08323rd1132124
2020-02-1723rd16202131
2020-02-10121st21232533
2019-12-3083rd2132126
2019-12-02221st21233132
2019-09-1683rd8132131
2019-08-1963rd3112125
2019-07-29231st21273032
2019-05-0924th27921
2019-05-0252nd17212227
2019-04-1532nd19213033
2019-04-0422nd5212833
2019-03-2824th8122021
2019-03-2112nd15212334
2019-03-18183rd3132130
2019-01-1413rd11132128
2019-01-1082nd11212629
2018-12-13123rd14192126
2018-11-01114th12151821
2018-09-2452nd7212229
2018-09-06354th461021
2018-05-0794th10172021
2018-04-0574th291021
2018-03-08233rd12152135
2017-12-1853rd4132132
2017-11-3044th15821
2017-11-16124th10121721
2017-10-05124th251821
2017-08-2444th1162021
2017-08-1014th6101921
2017-08-07332nd11212630
2017-04-1382nd18212635
2017-03-1633rd4162122
2017-03-06222nd11213133
2016-12-1913rd8182125
2016-12-15172nd19212231
2016-10-17103rd9192132
2016-09-1254th341321
2016-08-2512nd8212325
2016-08-2262nd8212526
2016-08-01113rd12162135
2016-06-23423rd19202128
2016-01-28224th6121421
2015-11-1241st21242930
2015-10-2934th5111521
2015-10-1934th14621
2015-10-0822nd3212224
2015-10-01283rd10152131
2015-06-2513rd8112128
2015-06-2224th7131521
2015-06-15133rd6132122
2015-04-30113rd4152126
2015-03-2313rd4102130
2015-03-19162nd3212534
2015-01-2222nd18212328
2015-01-1531st21252634
2015-01-0512nd18212730
2015-01-0133rd792132
2014-12-22143rd10122132
2014-11-03243rd12152127
2014-08-1132nd7212325
2014-07-31122nd13212225
2014-06-1981st21253035
2014-05-22114th561121
2014-04-1413rd2152131
2014-04-1023rd13162131
2014-04-0312nd13212434
2014-03-3123rd7102132
2014-03-2413rd142122
2014-03-2063rd482134
2014-02-27384th9131521
2013-10-1713rd13162126
2013-10-1453rd5202128
2013-09-2654th7101221
2013-09-0953rd472124
2013-08-2213rd162124
2013-08-1922nd1212534
2013-08-1294th34721
2013-07-11121st21272932
2013-05-3074th251721
2013-05-0673rd3202122
2013-04-11124th7121821
2013-02-28144th4131421
2013-01-10173rd2182126
2012-11-12134th14192021
2012-09-2722nd16212735
2012-09-20144th491421
2012-08-0212nd7212234
2012-07-3063rd19202133
2012-07-0963rd192131
2012-06-1821st21232834
2012-06-1193rd462129
2012-05-10102nd17212231
2012-04-0533rd142123
2012-03-2693rd262125
2012-02-23163rd15162132
2011-12-29142nd13212431
2011-11-10121st21262934
2011-09-29183rd8152134
2011-07-2884th351321
2011-06-3053rd8202132
2011-06-1312nd8213132
2011-06-09112nd4212729
2011-05-02173rd19202122
2011-03-03203rd13162122
2010-12-2352nd20212526
2010-12-06142nd13213435
2010-10-1833rd15162130
2010-10-0713rd2152132
2010-10-04143rd10112125
2010-08-1682nd13212324
2010-07-1931st21222327
2010-07-0813rd18192130
2010-07-05264th291421
2010-04-0532nd15212432
2010-03-25—1st21222331