Number 34

In Cash 5 under the 5/41 · Oct 2020 – Oct 2023 rules — 720 draws, 5 from 1–41 (an earlier era).

100times drawn · chance expected 88 +1.39σ

8draws waiting · a wait this long: 40% for any number

7.2average wait between appearances · chance says 8.2

35longest completed wait · 70% chance of one at least that long

34 is drawn as often as chance explains

Drawn 100 times in 720 draws against 87.8 expected, +1.39σ. Each draw is independent: after 8 draws away it is exactly as likely tonight as a number drawn yesterday.

Number 34, draw by draw

Drawn 100 times in 720 draws · average wait 7.2 draws · longest completed wait 35 · 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 34 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 smallest0 · chance 0.0
2nd smallest2 · chance 1.3
3rd smallest10 · chance 12.1
4th smallest42 · chance 41.8
5th smallest46 · chance 44.8

Every position’s lane →

The company it keeps

Seen most often with these — chance gives every partner about 10.0 shared draws, and the leaders are simply the ones that came out ahead this time.

3 5 14 40 8 16

It has shared a draw with every one of the other 40 numbers; chance expected about 0.0 still unmet by now. Every pair →

How many people play it

Under the crowd model, 34 is picked about 0.86× as often as an indifferent choice — 33rd most popular of 41. That changes nothing about whether it comes up, and everything about how many ways a jackpot on it would be shared.

Numbers above 31 ×0.86

The model and its sources → · What people believe about 34 →

Every draw it appeared in

Date	Wait	Position	The draw
2023-10-09	1	5th	5 8 20 33 34
2023-10-08	12	5th	3 14 25 29 34
2023-09-26	14	4th	6 7 19 34 40
2023-09-12	3	4th	13 20 31

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: 34 is drawn with probability 5/41 tonight whatever it did last week.

2023-05-14	6	5th	3 5 16 19 34
2023-05-08	8	4th	6 12 24 34 40
2023-04-30	15	5th	6 8 14 21 34
2023-04-15	18	5th	6 22 28 32 34
2023-03-28	6	4th	3 4 12 34 41
2023-03-22	5	4th	6 28 30 34 38
2023-03-17	18	5th	7 25 28 31 34
2023-02-27	4	5th	3 4 11 24 34
2023-02-23	9	3rd	1 19 34 36 40
2023-02-14	7	5th	5 6 8 18 34
2023-02-07	8	4th	2 5 7 34 39
2023-01-30	20	5th	5 22 28 31 34
2023-01-10	2	3rd	25 32 34 40 41
2023-01-08	1	5th	3 4 12 23 34
2023-01-07	3	5th	9 28 32 33 34
2023-01-04	1	5th	9 26 29 33 34
2023-01-03	2	5th	8 15 17 25 34
2023-01-01	7	4th	20 23 29 34 40
2021-12-25	9	5th	4 21 26 27 34
2021-12-16	3	3rd	22 28 34 35 41
2021-12-13	4	5th	11 14 22 25 34
2021-12-09	11	4th	3 18 31 34 36
2021-11-28	1	4th	9 13 24 34 35
2021-11-27	4	5th	3 9 11 27 34
2021-11-23	5	4th	5 6 27 34 36
2021-11-18	16	4th	4 16 21 34 38
2021-11-02	6	2nd	1 34 35 39 41
2021-10-27	27	5th	7 8 14 27 34
2021-09-30	7	4th	2 15 17 34 40
2021-09-23	2	5th	3 5 22 29 34
2021-09-21	3	4th	15 21 22 34 41
2021-09-18	3	5th	9 11 13 14 34
2021-09-15	4	4th	3 22 33 34 41
2021-09-11	12	4th	18 21 27 34 40
2021-08-30	5	5th	5 8 22 31 34
2021-08-25	5	4th	23 24 33 34 35
2021-08-20	14	3rd	17 26 34 38 41
2021-08-06	4	5th	9 16 21 24 34
2021-08-02	3	4th	5 8 24 34 41
2021-07-30	5	5th	2 8 25 27 34
2021-07-25	35	4th	1 8 12 34 38
2021-06-20	6	5th	6 16 18 24 34
2021-06-14	6	4th	13 14 32 34 35
2021-06-08	17	4th	16 19 32 34 37
2021-05-22	12	3rd	2 20 34 40 41
2021-05-10	1	4th	15 17 25 34 38
2021-05-09	1	4th	15 24 26 34 37
2021-05-08	3	2nd	30 34 35 38 41
2021-05-05	1	5th	1 19 23 32 34
2021-05-04	14	5th	10 20 31 33 34
2021-04-20	7	5th	1 5 13 20 34
2021-04-13	1	3rd	11 16 34 37 41
2021-04-12	11	5th	14 22 23 33 34
2021-04-01	8	5th	13 16 18 31 34
2021-03-24	12	5th	7 20 21 26 34
2021-03-12	1	5th	20 24 30 33 34
2021-03-11	8	4th	1 2 9 34 40
2021-03-03	5	4th	2 11 16 34 37
2021-02-26	3	4th	3 14 25 34 38
2021-02-23	6	4th	25 29 30 34 35
2021-02-17	15	5th	13 15 21 32 34
2021-02-02	2	4th	1 5 32 34 36
2021-01-31	20	5th	1 8 12 31 34
2021-01-11	9	5th	5 10 26 33 34
2021-01-02	4	5th	14 18 25 28 34
2020-12-29	10	5th	5 9 16 33 34
2020-12-19	3	4th	23 30 32 34 37
2020-12-16	13	5th	2 21 25 29 34
2020-12-03	1	5th	4 8 15 20 34
2020-12-02	7	5th	4 11 12 18 34
2020-11-25	9	4th	10 17 18 34 38
2020-11-16	3	4th	14 18 30 34 39
2020-11-13	6	5th	10 25 26 32 34
2020-11-07	3	4th	6 14 23 34 41
2020-11-04	7	4th	16 22 32 34 36
2020-10-28	—	3rd	5 26 34 35 40