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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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Montana Cash · every number

4

Number 4

In Montana Cash under the 5/37 · Apr 2010 – May 2014 rules — 428 draws, 5 from 1–37 (an earlier era).

5/45 · since May 20145/37 · Apr 2010 – May 2014
53times drawn · chance expected 58 −0.68σ
8draws waiting · a wait this long: 36% for any number
8.0average wait between appearances · chance says 7.4
26longest completed wait · 75% chance of one at least that long
4 is drawn as often as chance explains

Drawn 53 times in 428 draws against 57.8 expected, −0.68σ. Each draw is independent: after 8 draws away it is exactly as likely tonight as a number drawn yesterday.

4

Number 4, draw by draw

Drawn 53 times in 428 draws · average wait 8.0 draws · longest completed wait 26 · waiting 8 draws now

5 draws: 2010-04-21 to 2010-05-0810 draws: 2010-05-08 to 2010-06-122 draws: 2010-06-12 to 2010-06-194 draws: 2010-06-19 to 2010-07-035 draws: 2010-07-03 to 2010-07-2123 draws: 2010-07-21 to 2010-10-0926 draws: 2010-10-09 to 2011-01-082 draws: 2011-01-08 to 2011-01-153 draws: 2011-01-15 to 2011-01-2613 draws: 2011-01-26 to 2011-03-124 draws: 2011-03-12 to 2011-03-269 draws: 2011-03-26 to 2011-04-2720 draws: 2011-04-27 to 2011-07-065 draws: 2011-07-06 to 2011-07-232 draws: 2011-07-23 to 2011-07-301 draws: 2011-07-30 to 2011-08-039 draws: 2011-08-03 to 2011-09-031 draws: 2011-09-03 to 2011-09-077 draws: 2011-09-07 to 2011-10-019 draws: 2011-10-01 to 2011-11-023 draws: 2011-11-02 to 2011-11-1212 draws: 2011-11-12 to 2011-12-244 draws: 2011-12-24 to 2012-01-079 draws: 2012-01-07 to 2012-02-0817 draws: 2012-02-08 to 2012-04-0715 draws: 2012-04-07 to 2012-05-302 draws: 2012-05-30 to 2012-06-0623 draws: 2012-06-06 to 2012-08-251 draws: 2012-08-25 to 2012-08-2910 draws: 2012-08-29 to 2012-10-036 draws: 2012-10-03 to 2012-10-2412 draws: 2012-10-24 to 2012-12-0516 draws: 2012-12-05 to 2013-01-302 draws: 2013-01-30 to 2013-02-062 draws: 2013-02-06 to 2013-02-1318 draws: 2013-02-13 to 2013-04-172 draws: 2013-04-17 to 2013-04-2421 draws: 2013-04-24 to 2013-07-063 draws: 2013-07-06 to 2013-07-175 draws: 2013-07-17 to 2013-08-031 draws: 2013-08-03 to 2013-08-076 draws: 2013-08-07 to 2013-08-284 draws: 2013-08-28 to 2013-09-1116 draws: 2013-09-11 to 2013-11-066 draws: 2013-11-06 to 2013-11-276 draws: 2013-11-27 to 2013-12-1811 draws: 2013-12-18 to 2014-01-253 draws: 2014-01-25 to 2014-02-058 draws: 2014-02-05 to 2014-03-052 draws: 2014-03-05 to 2014-03-122 draws: 2014-03-12 to 2014-03-197 draws: 2014-03-19 to 2014-04-12Still waiting — at least 8 draws since 2014-04-122010-04-212010-05-082010-06-122010-06-192010-07-032010-07-212010-10-092011-01-082011-01-152011-01-262011-03-122011-03-262011-04-272011-07-062011-07-232011-07-302011-08-032011-09-032011-09-072011-10-012011-11-022011-11-122011-12-242012-01-072012-02-082012-04-072012-05-302012-06-062012-08-252012-08-292012-10-032012-10-242012-12-052013-01-302013-02-062013-02-132013-04-172013-04-242013-07-062013-07-172013-08-032013-08-072013-08-282013-09-112013-11-062013-11-272013-12-182014-01-252014-02-052014-03-052014-03-122014-03-192014-04-122010-04-072014-05-10

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

1 draws: 4 times2 draws: 9 times3 draws: 4 times4 draws: 4 times5 draws: 4 times6 draws: 4 times7 draws: 2 times8 draws: 1 time9 draws: 4 times10 draws: 2 times11 draws: 1 time12 draws: 2 times13 draws: 1 time14 draws: 0 times15 draws: 1 time16 draws: 2 times17 draws: 1 time18 draws: 1 time19 draws: 0 times20 draws: 1 time21 draws: 1 time22 draws: 0 times23 draws: 2 times24 draws: 0 times25 draws: 0 times26 draws: 1 time27 draws: 0 timesits own waitsdraws between appearances

Where it lands in a sorted draw

Sort a draw and 4 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 smallest38 · chance 36.8
  • 2nd smallest14 · chance 14.7
  • 3rd smallest1 · chance 1.4
  • 4th smallest0 · chance 0.0
  • 5th smallest0 · chance 0.0

Every position’s lane →

The company it keeps

Seen most often with these — chance gives every partner about 5.9 shared draws, and the leaders are simply the ones that came out ahead this time.

33630253132

It has shared a draw with every one of the other 36 numbers; chance expected about 0.1 still unmet by now. Every pair →

How many people play it

Under the crowd model, 4 is picked about 1.34× as often as an indifferent choice — 6th most popular of 37. 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

The model and its sources → · What people believe about 4 →

Every draw it appeared in

DateWaitPositionThe draw
2014-04-1271st430323335
2014-03-1921st425303133
2014-03-1221st421283132
2014-03-0582nd14
← number 3Every numbernumber 5 →
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: 4 is drawn with probability 5/37 tonight whatever it did last week.

6
9
25
2014-02-0533rd1341722
2014-01-25112nd34162332
2013-12-1861st48122231
2013-11-2761st48121533
2013-11-06161st46212933
2013-09-1141st413192136
2013-08-2861st47162731
2013-08-0711st427283033
2013-08-0351st456734
2013-07-1731st415183536
2013-07-06211st46162533
2013-04-2422nd145625
2013-04-17181st412131733
2013-02-1321st4691134
2013-02-0622nd14161736
2013-01-30162nd14172029
2012-12-05121st420272932
2012-10-2461st422273135
2012-10-03102nd2453033
2012-08-2911st416253035
The other 29 appearances
2012-08-25231st47273133
2012-06-0622nd2461224
2012-05-30152nd1473237
2012-04-07171st45112333
2012-02-0891st47143033
2012-01-0741st411303135
2011-12-24122nd24192530
2011-11-1231st49111533
2011-11-0291st412193237
2011-10-0172nd24141932
2011-09-0711st4572935
2011-09-0391st456811
2011-08-0311st414193033
2011-07-3022nd24142034
2011-07-2351st413262731
2011-07-06201st419213236
2011-04-2791st417283637
2011-03-2641st46242932
2011-03-12131st412202125
2011-01-2631st418233136
2011-01-1521st412172836
2011-01-08261st4591720
2010-10-09232nd147836
2010-07-2152nd2462936
2010-07-0341st48122122
2010-06-1922nd3491422
2010-06-12101st46172530
2010-05-0851st45101625
2010-04-21—1st411182735