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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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Fantasy 5 · every number

13

Number 13

In Fantasy 5 under the 5/39 · Apr 2010 – Mar 2011 rules — 285 draws, 5 from 1–39 (an earlier era).

5/41 · since Mar 20115/39 · Apr 2010 – Mar 2011
44times drawn · chance expected 37 +1.32σ
0draws waiting — it came up last time
6.6average wait between appearances · chance says 7.8
25longest completed wait · 80% chance of one at least that long
13 is drawn as often as chance explains

Drawn 44 times in 285 draws against 36.5 expected, +1.32σ. Each draw is independent: after 0 draws away it is exactly as likely tonight as a number drawn yesterday.

13

Number 13, draw by draw

Drawn 44 times in 285 draws · average wait 6.6 draws · longest completed wait 25 · drawn in the most recent draw

2 draws: 2010-04-06 to 2010-04-081 draws: 2010-04-08 to 2010-04-093 draws: 2010-04-09 to 2010-04-134 draws: 2010-04-13 to 2010-04-171 draws: 2010-04-17 to 2010-04-197 draws: 2010-04-19 to 2010-04-276 draws: 2010-04-27 to 2010-05-045 draws: 2010-05-04 to 2010-05-107 draws: 2010-05-10 to 2010-05-185 draws: 2010-05-18 to 2010-05-2415 draws: 2010-05-24 to 2010-06-102 draws: 2010-06-10 to 2010-06-128 draws: 2010-06-12 to 2010-06-223 draws: 2010-06-22 to 2010-06-251 draws: 2010-06-25 to 2010-06-264 draws: 2010-06-26 to 2010-07-0125 draws: 2010-07-01 to 2010-07-3010 draws: 2010-07-30 to 2010-08-113 draws: 2010-08-11 to 2010-08-141 draws: 2010-08-14 to 2010-08-165 draws: 2010-08-16 to 2010-08-2113 draws: 2010-08-21 to 2010-09-062 draws: 2010-09-06 to 2010-09-085 draws: 2010-09-08 to 2010-09-1412 draws: 2010-09-14 to 2010-09-287 draws: 2010-09-28 to 2010-10-0610 draws: 2010-10-06 to 2010-10-183 draws: 2010-10-18 to 2010-10-216 draws: 2010-10-21 to 2010-10-284 draws: 2010-10-28 to 2010-11-021 draws: 2010-11-02 to 2010-11-0312 draws: 2010-11-03 to 2010-11-177 draws: 2010-11-17 to 2010-11-259 draws: 2010-11-25 to 2010-12-065 draws: 2010-12-06 to 2010-12-1112 draws: 2010-12-11 to 2010-12-255 draws: 2010-12-25 to 2010-12-311 draws: 2010-12-31 to 2011-01-0119 draws: 2011-01-01 to 2011-01-241 draws: 2011-01-24 to 2011-01-251 draws: 2011-01-25 to 2011-01-2625 draws: 2011-01-26 to 2011-02-246 draws: 2011-02-24 to 2011-03-032010-04-062010-04-082010-04-092010-04-132010-04-172010-04-192010-04-272010-05-042010-05-102010-05-182010-05-242010-06-102010-06-122010-06-222010-06-252010-06-262010-07-012010-07-302010-08-112010-08-142010-08-162010-08-212010-09-062010-09-082010-09-142010-09-282010-10-062010-10-182010-10-212010-10-282010-11-022010-11-032010-11-172010-11-252010-12-062010-12-112010-12-252010-12-312011-01-012011-01-242011-01-252011-01-262011-02-242011-03-032010-04-062011-03-03

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

1 draws: 8 times2 draws: 3 times3 draws: 4 times4 draws: 3 times5 draws: 6 times6 draws: 3 times7 draws: 4 times8 draws: 1 time9 draws: 1 time10 draws: 2 times11 draws: 0 times12 draws: 3 times13 draws: 1 time14 draws: 0 times15 draws: 1 time16 draws: 0 times17 draws: 0 times18 draws: 0 times19 draws: 1 time20 draws: 0 times21 draws: 0 times22 draws: 0 times23 draws: 0 times24 draws: 0 times25 draws: 2 times26 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 smallest12 · chance 8.9
  • 2nd smallest11 · chance 18.6
  • 3rd smallest18 · chance 12.8
  • 4th smallest3 · chance 3.4
  • 5th smallest0 · chance 0.3

Every position’s lane →

The company it keeps

Seen most often with these — chance gives every partner about 4.6 shared draws, and the leaders are simply the ones that came out ahead this time.

4182237512

It has shared a draw with every one of the other 38 numbers; chance expected about 0.4 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 39. 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
2011-03-0361st1325303739
2011-02-24251st1322293537
2011-01-2613rd18131935
2011-01-2513rd212
← 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 5/39 tonight whatever it did last week.

13
17
37
2011-01-24191st1324303437
2011-01-0112nd513202534
2010-12-3151st1323243435
2010-12-25121st1314232433
2010-12-1153rd111131823
2010-12-0691st1314151839
2010-11-2574th79121330
2010-11-17123rd412132936
2010-11-0314th1451326
2010-11-0243rd212131823
2010-10-2863rd38132126
2010-10-2132nd1113212439
2010-10-18102nd813242838
2010-10-0673rd310131417
2010-09-28122nd913143538
2010-09-1453rd712131829
2010-09-0823rd411131825
2010-09-06131st1318192737
2010-08-2153rd410132932
2010-08-1612nd513152228
The other 20 appearances
2010-08-1432nd113192531
2010-08-11101st1319253839
2010-07-30251st1319223036
2010-07-0144th2451336
2010-06-2613rd812132232
2010-06-2533rd25131718
2010-06-2282nd1113152527
2010-06-1221st1322293234
2010-06-10152nd413141524
2010-05-2453rd56131635
2010-05-1873rd110131422
2010-05-1052nd613193338
2010-05-0463rd710133334
2010-04-2772nd913213032
2010-04-1911st1329323637
2010-04-1743rd47132739
2010-04-1333rd39133637
2010-04-0912nd913162122
2010-04-0821st1315173339
2010-04-06—3rd310132633