Lotteries
Québec Max Number Frequency, Counted by Drum Size
Counts of every Québec Max number in our saved draws, split by drum size, each shown against the range chance alone produces. Below: how to read them and why they predict nothing.
From Oct 19, 2012 to Oct 30, 2026, main numbers only (the bonus is not counted).
Our copy has no draw after Oct 30, 2026: newer results did not reach this site. Check the official page.
The drum changed 2 times in this period, so every set of rules is counted on its own.
numbers 1 to 52, 58 draws Apr 14, 2026 – Oct 30, 2026
- band of chance (95%): 3 to 13 times
- expected: 7.8 times
- outside the band
Numbers outside the band: 1 of 52; with fair draws about 1.6 of 52 fall outside it by chance alone.
Chi-square test: 52.3 with 51 degrees of freedom, p = 0.42: well within what chance alone gives.
Drawn most often
- 2713
- 4213
- 4513
- 812
- 1412
Drawn least often
- 281
- 103
- 483
- 124
- 244
Away the longest (in the draws we have saved for these rules)
| Number | Not drawn for | Chance of such a wait |
|---|---|---|
| 28 | 36 draws | 0.55% |
| 48 | 28 draws | 1.7% |
| 38 | 26 draws | 2.3% |
| 19 | 22 draws | 4.2% |
| 15 | 16 draws | 9.9% |
A long absence does not make a number due. In the next draw every number has the same chance: 7 in 52, about 13.5%.
Every count of this epoch
- 17
- 210
- 39
- 47
- 56
- 65
- 75
- 812
- 96
- 103
- 117
- 124
- 138
- 1412
- 159
- 167
- 179
- 188
- 199
- 206
- 219
- 229
- 236
- 244
- 257
- 267
- 2713
- 281
- 296
- 306
- 317
- 328
- 336
- 3411
- 3510
- 368
- 3710
- 385
- 397
- 409
- 4110
- 4213
- 439
- 4410
- 4513
- 469
- 478
- 483
- 4910
- 5011
- 515
- 527
numbers 1 to 50, 722 draws May 14, 2019 – Apr 10, 2026
- band of chance (95%): 83 to 120 times
- expected: 101.1 times
- outside the band
Numbers outside the band: 1 of 50; with fair draws about 2.1 of 50 fall outside it by chance alone.
Chi-square test: 45.5 with 49 degrees of freedom, p = 0.62: well within what chance alone gives.
Drawn most often
- 30118
- 25116
- 49116
- 1114
- 20114
Drawn least often
- 3977
- 4785
- 786
- 1586
- 3788
Every count of this epoch
- 1114
- 2105
- 389
- 499
- 5111
- 6102
- 786
- 8106
- 996
- 1095
- 1197
- 1299
- 1392
- 14103
- 1586
- 16112
- 17100
- 1896
- 1999
- 20114
- 21106
- 22114
- 23101
- 24111
- 25116
- 2695
- 2794
- 2896
- 2997
- 30118
- 3198
- 32102
- 33107
- 34101
- 35111
- 3696
- 3788
- 38107
- 3977
- 40105
- 41111
- 42104
- 4399
- 44107
- 4597
- 46103
- 4785
- 4899
- 49116
- 5092
numbers 1 to 49, 343 draws Oct 19, 2012 – May 10, 2019
- band of chance (95%): 37 to 62 times
- expected: 49.0 times
- outside the band
Numbers outside the band: 3 of 49; with fair draws about 2.2 of 49 fall outside it by chance alone.
Chi-square test: 62.3 with 48 degrees of freedom, p = 0.08: well within what chance alone gives.
Drawn most often
- 166
- 3266
- 2161
- 959
- 1259
Drawn least often
- 2535
- 2837
- 2937
- 4737
- 3139
Every count of this epoch
- 166
- 246
- 352
- 452
- 540
- 642
- 743
- 855
- 959
- 1042
- 1152
- 1259
- 1353
- 1450
- 1547
- 1654
- 1751
- 1853
- 1946
- 2044
- 2161
- 2242
- 2358
- 2458
- 2535
- 2646
- 2751
- 2837
- 2937
- 3049
- 3139
- 3266
- 3341
- 3442
- 3546
- 3645
- 3756
- 3845
- 3946
- 4051
- 4146
- 4249
- 4352
- 4449
- 4544
- 4654
- 4737
- 4854
- 4959
Latest draws we have saved
- 4
- 5
- 13
- 14
- 18
- 36
- 46
- 30
- 4
- 8
- 10
- 23
- 45
- 47
- 50
- 7
- 8
- 14
- 20
- 24
- 31
- 42
- 45
- 48
- 8
- 20
- 31
- 34
- 45
- 49
- 50
- 30
- 8
- 16
- 27
- 32
- 40
- 43
- 47
- 5
Unofficial: a copy of published results – verify with the official source. Official source: lotoquebec.com. Copy updated Nov 2, 2026
Draws up to the end of last year come from the yearly archives of Loto-Québec; newer draws from the Loto-Québec results pages.
Counts and the chance band
| Measure | Value |
|---|---|
| Saved draws in our archive | 1,123 |
| Oldest saved draw | October 19, 2012 |
| Drum sizes in the archive | 3 |
| Draws in the drum size with the most saved draws | 722 |
| Numbers in that drum | 50 |
| Chance band for one number's count | 83 to 120 |
| Numbers outside the band | 1 |
| Expected outside the band with fair draws | 2.1 |
| Chi-square p-value | 0.62 |
The band is where one number's count lands in most fair runs. A few numbers outside it is normal. A high p-value means the spread looks like chance alone.
Why the drum sizes are split
- The drum grewOver the years Loto-Québec added numbers to the Québec Max drum. Its statistics page dates when each new number became available.
- New numbers start laterA number that was not in the drum could not be drawn, so it had fewer chances to come up.
- Mixing periods misleadsCounting all periods together would make older numbers look frequent and newer ones look rare.
- Each size counted apartThe tool above shows each drum size on its own, with its own chance band and chi-square test.
What the counts show and do not
What they show
- How often each number came up in our saved draws
- Whether counts stay inside the band of chance
- Whether the whole spread looks like fair draws
What they do not show
- Which numbers will come up next
- A tip: hot or cold numbers are not advice
- A number that is due – no number is ever due
Words used in the tool
- Chance band
- The range where one number's count falls in most runs of fair draws. Counts inside it are ordinary.
- Chi-square test
- A test of whether all counts together spread more than chance alone would. It is run for each drum size.
- p-value
- How often fair draws would give a spread at least this uneven. A high value means nothing unusual.
- Hot number
- A number with a high count so far. It has the same chance as any other in the next draw.
- Cold number
- A number with a low count or away a long time. It is not due and not more likely next.
Test it yourself
Hot numbers backtest
Check on past draws whether picking frequent numbers matched more often than any other choice.
Hot and cold numbers
Why counts rise and fall by chance and what that means for the next draw.
Independent draws
What it means that each draw starts fresh, with the same odds every time.
Québec Max odds
The odds and prizes of each Québec Max prize tier, from the official game rules.
Sources
- Loto-Québec – Règles des loteries · checked Nov 2, 2026
- Loto-Québec – Conditions of use · checked Nov 2, 2026
Questions
What are the most common Québec Max numbers?
The tool above lists them for each drum size, and the list changes as draws are added. Most counts stay inside the band of chance, and a frequent number is no more likely in the next draw.
Why are Québec Max numbers counted in separate periods?
The drum grew over the years. A number that was not in the drum could not be drawn, so counting all periods together would make older numbers look frequent. Each drum size is counted on its own.
Do hot Québec Max numbers come up more often?
No. Each draw is random and independent. A given number has a 13.5% chance to be among the numbers of the next draw, whatever came before. See hot and cold numbers.
Are the Québec Max results on this page official?
No. Our copy is unofficial. Loto-Québec states that results on its portal are not official either and that its official winning list prevails. The tool links the official results.