Number 20

In 2by2 under the 3/26 · Nov 2016 – Sep 2022 rules — 1,768 draws, 3 from 1–26 (an earlier era).

170times drawn · chance expected 204 −2.53σ

8draws waiting · a wait this long: 42% for any number

10.4average wait between appearances · chance says 8.7

43longest completed wait · 63% chance of one at least that long

20 is drawn as often as chance explains

Drawn 170 times in 1,768 draws against 204.0 expected, −2.53σ. Each draw is independent: after 8 draws away it is exactly as likely tonight as a number drawn yesterday.

Number 20, draw by draw

Drawn 170 times in 1,768 draws · average wait 10.4 draws · longest completed wait 43 · waiting 8 draws now

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

Where it lands in a sorted draw

Sort a draw and 20 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 smallest7 · chance 8.5
2nd smallest43 · chance 64.6
3rd smallest120 · chance 96.9

Every position’s lane →

The company it keeps

Seen most often with these — chance gives every partner about 13.6 shared draws, and the leaders are simply the ones that came out ahead this time.

3 5 6 8 1 2

It has shared a draw with every one of the other 25 numbers; chance expected about 0.0 still unmet by now. Every pair →

How many people play it

Under the crowd model, 20 is picked about 1.28× as often as an indifferent choice — 13th most popular of 26. 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
Round numbers (multiples of 10) ×1.05

The model and its sources → · What people believe about 20 →

Every draw it appeared in

Date	Wait	Position	The draw
2022-09-10	7	3rd	9 16 20
2022-09-03	21	2nd	16 20 23
2022-08-13	2	3rd	3 9 20
2022-08-11	8	2nd	12 20 26
2022-08-03	6	3rd	13 17 20
2022-07-28	10	3rd

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: 20 is drawn with probability 3/26 tonight whatever it did last week.

2022-01-17	2	2nd	3 20 21
2022-01-15	3	3rd	15 16 20
2022-01-12	0	1st	20 22
2022-01-12	3	1st	20 22
2022-01-09	2	3rd	3 4 20
2022-01-07	5	2nd	3 20 24
2022-01-02	19	3rd	7 11 20
2021-12-14	6	3rd	6 16 20
2021-12-08	8	3rd	13 17 20
2021-11-30	8	2nd	2 20 22
2021-11-22	25	3rd	5 6 20
2021-10-28	2	3rd	5 14 20
2021-10-26	22	3rd	5 7 20
2021-10-04	1	3rd	8 11 20
2021-10-03	2	2nd	3 20 21
2021-10-01	8	3rd	3 13 20
2021-09-23	10	2nd	3 20 25
2021-09-13	20	2nd	16 20 23
2021-08-24	7	3rd	3 18 20
2021-08-17	4	3rd	6 9 20
2021-08-13	10	3rd	8 11 20
2021-08-03	9	3rd	6 18 20
2021-07-25	1	3rd	8 13 20
2021-07-24	3	3rd	5 7 20
2021-07-21	8	3rd	6 17 20
2021-07-13	12	3rd	6 18 20
2021-07-01	19	2nd	6 20 24
2021-06-12	23	3rd	6 19 20
2021-05-20	8	2nd	10 20 26
2021-05-12	9	3rd	2 11 20
2021-05-03	1	3rd	1 11 20
2021-05-02	7	3rd	2 11 20
2021-04-25	10	3rd	3 5 20
2021-04-15	21	3rd	1 11 20
2021-03-25	11	3rd	2 6 20
2021-03-14	33	2nd	3 20 26
2021-02-09	9	3rd	11 14 20
2021-01-31	3	3rd	13 15 20
2021-01-28	2	2nd	6 20 26
2021-01-26	1	3rd	3 7 20
2021-01-25	17	3rd	1 7 20
2021-01-08	8	2nd	3 20 25
2020-12-31	6	2nd	10 20 26
2020-12-25	20	3rd	1 8 20
2020-12-05	2	2nd	3 20 26
2020-12-03	39	3rd	1 17 20
2020-10-25	7	3rd	5 18 20
2020-10-18	4	2nd	5 20 26
2020-10-14	13	3rd	6 19 20
2020-10-01	2	3rd	12 17 20
2020-09-29	1	3rd	3 4 20
2020-09-28	32	3rd	4 13 20
2020-08-27	8	3rd	7 8 20
2020-08-19	2	3rd	8 16 20
2020-08-17	3	3rd	2 5 20
2020-08-14	20	3rd	2 3 20
2020-07-25	3	2nd	6 20 21
2020-07-22	2	3rd	1 5 20
2020-07-20	8	2nd	15 20 21
2020-07-12	6	3rd	14 15 20
2020-07-06	29	2nd	13 20 24
2020-06-07	28	3rd	6 19 20
2020-05-10	23	3rd	4 16 20
2020-04-17	14	3rd	4 17 20
2020-04-03	5	3rd	3 5 20
2020-03-29	14	3rd	10 17 20
2020-03-15	17	2nd	10 20 22
2020-02-27	7	3rd	5 8 20
2020-02-20	1	2nd	1 20 21
2020-02-19	4	3rd	9 18 20
2020-02-15	10	3rd	1 10 20
2020-02-05	26	3rd	6 12 20
2020-01-10	22	3rd	5 18 20
2019-12-19	4	3rd	4 6 20
2019-12-15	8	3rd	2 9 20
2019-12-07	19	3rd	9 16 20
2019-11-18	4	3rd	9 17 20
2019-11-14	35	3rd	2 9 20
2019-10-10	2	3rd	6 10 20
2019-10-08	4	3rd	9 19 20
2019-10-04	13	3rd	4 8 20
2019-09-21	27	3rd	13 18 20
2019-08-25	0	1st	20 23
2019-08-25	11	1st	20 23
2019-08-14	10	2nd	5 20 23
2019-08-04	18	2nd	6 20 21
2019-07-17	1	2nd	6 20 23
2019-07-16	23	2nd	5 20 25
2019-06-23	10	3rd	2 3 20
2019-06-13	14	3rd	3 10 20
2019-05-30	2	3rd	1 5 20
2019-05-28	3	3rd	16 18 20
2019-05-25	7	3rd	3 16 20
2019-05-18	33	2nd	1 20 22
2019-04-15	2	3rd	7 8 20
2019-04-13	29	3rd	5 14 20
2019-03-15	6	3rd	8 12 20
2019-03-09	10	3rd	8 17 20
2019-02-27	1	3rd	2 6 20
2019-02-26	25	3rd	3 17 20
2019-02-01	2	3rd	2 3 20
2019-01-30	33	3rd	11 17 20
2017-12-28	3	3rd	17 18 20
2017-12-25	9	3rd	7 16 20
2017-12-16	10	3rd	3 8 20
2017-12-06	7	2nd	13 20 24
2017-11-29	5	3rd	13 17 20
2017-11-24	4	3rd	4 8 20
2017-11-20	4	3rd	3 14 20
2017-11-16	29	3rd	8 14 20
2017-10-18	5	3rd	5 13 20
2017-10-13	6	3rd	8 19 20
2017-10-07	6	3rd	1 10 20
2017-10-01	3	2nd	15 20 22
2017-09-28	12	3rd	3 15 20
2017-09-16	19	3rd	14 16 20
2017-08-28	3	2nd	3 20 21
2017-08-25	7	2nd	7 20 21
2017-08-18	33	3rd	5 5 20
2017-07-16	4	2nd	8 20 24
2017-07-12	4	3rd	1 14 20
2017-07-08	15	3rd	10 19 20
2017-06-23	2	3rd	8 9 20
2017-06-21	1	3rd	1 3 20
2017-06-20	1	2nd	7 20 25
2017-06-19	3	2nd	12 20 22
2017-06-16	6	3rd	13 15 20
2017-06-10	7	3rd	3 5 20
2017-06-03	5	2nd	3 20 22
2017-05-29	11	2nd	1 20 26
2017-05-18	42	3rd	15 19 20
2017-04-06	1	3rd	14 18 20
2017-04-05	11	3rd	14 18 20
2017-03-25	6	3rd	1 5 20
2017-03-19	19	3rd	2 3 20
2017-02-28	3	3rd	3 10 20
2017-02-25	15	3rd	6 19 20
2017-02-10	10	1st	20 22 22
2017-01-31	10	2nd	14 20 26
2017-01-21	30	2nd	2 20 21
2016-12-22	18	3rd	4 11 20
2016-12-04	2	2nd	4 20 25
2016-12-02	2	3rd	8 19 20
2016-11-30	12	2nd	15 20 23
2016-11-18	2	3rd	3 6 20
2016-11-16	—	3rd	11 17 20