How We Calculate: Methods and Sources
Every odds value, prize and rule on KenoMath comes from an official document and is calculated or checked by code. The list above shows each source, its date and the facts it backs.
How each operator rounds its printed odds
Our odds are exact fractions. Operators print them rounded, and not all in the same way. Each printed "1 in N" below was compared with our fraction at the same number of digits.
157 of 157 printed odds fit one of the three ways of rounding. A cell that fits none is a misprint or a different rule in the source; the tests record it.
Every source document
212 of 212 documents
National games
- Loto-Québec – Conditions de jeu du Lotto Max, en vigueur le 2024-09-06saved Oct 29, 2026 · 1 fact
- Loto-Québec – Conditions de jeu du Lotto Max, en vigueur le 2026-04-10saved Oct 29, 2026 · 2 facts
- Loto-Québec – Règles des loteriessaved Oct 29, 2026 · 6 facts
- OLG – About Daily Grandsaved Oct 29, 2026 · 2 facts
- OLG – About Encoresaved Oct 29, 2026 · 2 facts
- OLG – About Lotto 6/49saved Oct 29, 2026 · 1 fact
- OLG – Conditions de jeu de l’Encoresaved Oct 29, 2026 · 1 fact
- OLG – Conditions de jeu du Grande Viesaved Oct 29, 2026 · 4 facts
- OLG – Conditions de jeu du Lotto 6/49saved Oct 29, 2026 · 8 facts
- OLG – Conditions de jeu du Lotto Maxsaved Oct 29, 2026 · 13 facts
- OLG – Daily Grand Game Conditionssaved Oct 29, 2026 · 9 facts
- OLG – Encore Game Conditionssaved Oct 29, 2026 · 4 facts
- OLG – How to play Lotto Maxsaved Oct 29, 2026 · 7 facts
- OLG – Lotto 6/49 Game Conditionssaved Oct 29, 2026 · 13 facts
- OLG – Lotto Max Game Conditionssaved Oct 29, 2026 · 20 facts
- OLG – Terminal hours and draw informationsaved Oct 29, 2026 · 3 facts
- WCLC – Daily Grand Game Conditions, in effect 2016-10-18saved Oct 29, 2026 · 4 facts
- WCLC – EXTRA Game Conditionssaved Oct 29, 2026 · 5 facts
- WCLC – EXTRA pagesaved Oct 29, 2026 · 3 facts
- WCLC – Lotto 6/49 Game Conditions, revision 2022-02-23saved Oct 29, 2026 · 7 facts
- WCLC – Lotto Max Game Conditions, in effect 2020-10-23saved Oct 29, 2026 · 2 facts
- WCLC – Lotto Max Game Conditions, in effect 2024-01-22saved Oct 29, 2026 · 2 facts
- WCLC – Lotto Max Game Conditions, in effect 2024-09-06saved Oct 29, 2026 · 1 fact
- WCLC – Lotto Max Game Conditions, in effect 2026-04-10saved Oct 29, 2026 · 4 facts
- WCLC – LOTTO MAX pagesaved Oct 29, 2026 · 6 facts
Keno and daily games
- Loto-Québec – Lottery rulessaved Oct 29, 2026 · 31 facts
- Loto-Québec – Règles des loteriessaved Oct 29, 2026 · 20 facts
- OLG – About Daily Kenosaved Oct 29, 2026 · 5 facts
- OLG – About PICK-2saved Oct 29, 2026 · 1 fact
- OLG – About PICK-3saved Oct 29, 2026 · 1 fact
- OLG – About PICK-4saved Oct 29, 2026 · 1 fact
- OLG – Daily Keno Game Conditionssaved Oct 29, 2026 · 16 facts
- OLG – Daily Keno past results and oddssaved Oct 29, 2026 · 10 facts
- OLG – Encore Game Conditionssaved Oct 29, 2026 · 3 facts
- OLG – PICK-2 Game Conditionssaved Oct 29, 2026 · 5 facts
- OLG – PICK-2 past results and oddssaved Oct 29, 2026 · 2 facts
- OLG – PICK-3 Game Conditionssaved Oct 29, 2026 · 6 facts
- OLG – PICK-3 past results and oddssaved Oct 29, 2026 · 1 fact
- OLG – PICK-4 Game Conditionssaved Oct 29, 2026 · 6 facts
- OLG – PICK-4 past results and oddssaved Oct 29, 2026 · 1 fact
- WCLC – KENO Game Conditions and Prize Structure Statement (2016)saved Oct 29, 2026 · 6 facts
- WCLC – KENO pagesaved Oct 29, 2026 · 17 facts
- WCLC – PICK 2 Game Conditions and Prize Structure Statementsaved Oct 29, 2026 · 4 facts
- WCLC – PICK 3 Game Conditions and Prize Structure Statementsaved Oct 29, 2026 · 4 facts
- WCLC – PICK 4 Game Conditions and Prize Structure Statementsaved Oct 29, 2026 · 4 facts
- WCLC – PICK games pagesaved Oct 29, 2026 · 6 facts
- WCLC – Publications and Formssaved Oct 29, 2026
Regional games
- Loto-Québec – Astro, structure de lots et chances de gagnersaved Oct 29, 2026 · 2 facts
- Loto-Québec – La Mini, lots bonis (2026)saved Oct 29, 2026 · 1 fact
- Loto-Québec – La Mini, structure de lots et chances de gagnersaved Oct 29, 2026 · 1 fact
- Loto-Québec – Lotto Poker, structure de lots et chances de gagnersaved Oct 29, 2026 · 1 fact
- Loto-Québec – Québec 49, structure de lots et chances de gagnersaved Oct 29, 2026 · 2 facts
- Loto-Québec – Québec Max, structure de lots et chances de gagnersaved Oct 29, 2026 · 1 fact
- Loto-Québec – Règles des loteriessaved Oct 29, 2026 · 37 facts
- Loto-Québec – Tout ou rien, structure de lots et chances de gagnersaved Oct 29, 2026 · 2 facts
- Loto-Québec – Triplex, structure de lots et chances de gagnersaved Oct 29, 2026 · 1 fact
- OLG – About Cash Popsaved Oct 29, 2026
- OLG – About Lightning Lottosaved Oct 29, 2026 · 1 fact
- OLG – About Lottariosaved Oct 29, 2026 · 3 facts
- OLG – About Megadice Lottosaved Oct 29, 2026 · 2 facts
- OLG – About Ontario 49saved Oct 29, 2026 · 2 facts
- OLG – About Poker Lottosaved Oct 29, 2026 · 1 fact
- OLG – Cash Pop Game Conditionssaved Oct 29, 2026 · 6 facts
- OLG – Cash Pop past resultssaved Oct 29, 2026
- OLG – Lightning Lotto Game Conditionssaved Oct 29, 2026 · 6 facts
- OLG – Lightning Lotto odds and payoutssaved Oct 29, 2026 · 1 fact
- OLG – Lottario Game Conditionssaved Oct 29, 2026 · 12 facts
- OLG – Lottario past resultssaved Oct 29, 2026 · 1 fact
- OLG – Megadice Game Conditionssaved Oct 29, 2026 · 8 facts
- OLG – Megadice Lotto odds and payoutssaved Oct 29, 2026 · 1 fact
- OLG – Ontario 49 Game Conditionssaved Oct 29, 2026 · 7 facts
- OLG – Ontario 49 past resultssaved Oct 29, 2026 · 2 facts
- OLG – Poker Lotto Game Conditionssaved Oct 29, 2026 · 10 facts
- OLG – Poker Lotto odds and payoutssaved Oct 29, 2026 · 2 facts
- WCLC – Lightning Lotto Game Conditions and Prize Structure Statement (2024)saved Oct 29, 2026 · 7 facts
- WCLC – Lightning Lotto pagesaved Oct 29, 2026 · 1 fact
- WCLC – Poker Lotto and All In pagesaved Oct 29, 2026 · 2 facts
- WCLC – Poker Lotto Game Conditions and Prize Structure Statementsaved Oct 29, 2026 · 7 facts
- WCLC – Western 649 Game Conditions and Prize Structure Statement (2014)saved Oct 29, 2026 · 5 facts
- WCLC – Western 649 pagesaved Oct 29, 2026 · 4 facts
- WCLC – Western Max Game Conditions and Prize Structure Statementsaved Oct 29, 2026 · 6 facts
- WCLC – Western Max pagesaved Oct 29, 2026 · 4 facts
Scratch tickets
- Loto-Québec – Bingo en réseau, page du jeusaved Oct 29, 2026 · 3 facts
- Loto-Québec – Bingo en réseau, règles de jeuxsaved Oct 29, 2026 · 3 facts
- Loto-Québec – Bingo en réseau, structure de lotssaved Oct 29, 2026 · 2 facts
- Loto-Québec – État de réclamation des lotssaved Oct 29, 2026 · 5 facts
- Loto-Québec – Gagnant à vie, règles du jeusaved Oct 29, 2026 · 5 facts
- Loto-Québec – Pause-café, données du jeusaved Oct 29, 2026 · 2 facts
- Loto-Québec – Pause-café, règles du jeusaved Oct 29, 2026 · 5 facts
- OLG – $250 Frenzy instant game 2584, player’s guide fact sheet (2026)saved Oct 29, 2026 · 2 facts
- OLG – 7X Multiplier instant game 2568, player’s guide fact sheet (2026)saved Oct 29, 2026 · 2 facts
- OLG – 7X Multiplier instant game pagesaved Oct 29, 2026 · 1 fact
- OLG – Lucky 7s instant game 2594, player’s guide fact sheet (2026)saved Oct 29, 2026 · 5 facts
- OLG – Lucky 7s instant game pagesaved Oct 29, 2026 · 2 facts
- OLG – Unclaimed instant prizes (2026)saved Oct 29, 2026 · 4 facts
- Princess Margaret Home Lottery – Rules and Regulationssaved Oct 29, 2026 · 16 facts
- WCLC – Lucky 7s Scratch & Win ticket 20074saved Oct 29, 2026 · 2 facts
- WCLC – Scratch & Win prizes remainingsaved Oct 29, 2026 · 4 facts
Laws and rules
- AGCO – Charitable gamingsaved Oct 29, 2026 · 1 fact
- Agence du revenu du Canada – Folio de l’impôt sur le revenu S3-F9-C1, Gains de loteriesaved Oct 29, 2026 · 1 fact
- Agence du revenu du Canada – Montants non déclarés et non imposablessaved Oct 29, 2026 · 2 facts
- AGLC – Charitable gamingsaved Oct 29, 2026 · 1 fact
- AGLC – How to claim a lottery prizesaved Oct 29, 2026 · 2 facts
- AGLC – Raffle licencessaved Oct 29, 2026 · 1 fact
- BC Independent Gambling Control Office – Charitable gamingsaved Oct 29, 2026 · 1 fact
- BC Independent Gambling Control Office – home pagesaved Oct 29, 2026 · 1 fact
- British Columbia – Gaming Control Act (2022)saved Oct 29, 2026 · 7 facts
- Canada Revenue Agency – Amounts that are not reported or taxedsaved Oct 29, 2026 · 2 facts
- Canada Revenue Agency – Income Tax Folio S3-F9-C1, Lottery Winningssaved Oct 29, 2026 · 4 facts
- Code criminel du Canada – article 197saved Oct 29, 2026
- Code criminel du Canada – article 202saved Oct 29, 2026 · 1 fact
- Code criminel du Canada – article 206saved Oct 29, 2026 · 3 facts
- Code criminel du Canada – article 207saved Oct 29, 2026 · 5 facts
- Code criminel du Canada – article 207.1 (navires de croisière internationale)saved Oct 29, 2026
- Criminal Code of Canada – section 197saved Oct 29, 2026 · 1 fact
- Criminal Code of Canada – section 202saved Oct 29, 2026 · 1 fact
- Criminal Code of Canada – section 206saved Oct 29, 2026 · 4 facts
- Criminal Code of Canada – section 207saved Oct 29, 2026 · 9 facts
- Criminal Code of Canada – section 207.1 (international cruise ships)saved Oct 29, 2026 · 1 fact
- Department of Finance Canada – Canada–United States Tax Conventionsaved Oct 29, 2026 · 1 fact
- IRS – Instructions for Form 1040-NR (2025)saved Oct 29, 2026 · 2 facts
- IRS – Instructions for Form W-8BEN (2021)saved Oct 29, 2026
- IRS – Publication 515 (2026), Withholding of Tax on Nonresident Alienssaved Oct 29, 2026 · 4 facts
- IRS – Publication 519 (2025), U.S. Tax Guide for Alienssaved Oct 29, 2026 · 1 fact
- Liquor, Gaming and Cannabis Authority of Manitoba – Gamingsaved Oct 29, 2026 · 1 fact
- Loto-Québec – Notre offre, loteriessaved Oct 29, 2026 · 2 facts
- Loto-Québec – Qui sommes-noussaved Oct 29, 2026 · 1 fact
- Loto-Québec – Réglementationsaved Oct 29, 2026 · 2 facts
- Loto-Québec – Règlements relatifs aux loteries et billets de loteriesaved Oct 29, 2026 · 3 facts
- Loto-Québec – Rules and Regulations Respecting Lotteries and Lottery Ticketssaved Oct 29, 2026 · 5 facts
- Manitoba – Age of Majority Act, C.C.S.M. c. A7saved Oct 29, 2026 · 1 fact
- Manitoba – Manitoba Liquor and Lotteries Corporation Act, C.C.S.M. c. L153saved Oct 29, 2026 · 4 facts
- Ministère des Finances Canada – Convention fiscale Canada–États-Unissaved Oct 29, 2026 · 1 fact
- Newfoundland and Labrador – Lotteries Act, SNL 1991 c. 53saved Oct 29, 2026 · 1 fact
- Nova Scotia – Atlantic Lottery Regulations, Gaming Control Actsaved Oct 29, 2026 · 2 facts
- OLG – About OLGsaved Oct 29, 2026 · 3 facts
- OLG – Rules and Conditions Respecting Lottery Gamessaved Oct 29, 2026 · 1 fact
- Prince Edward Island – Lotteries Commission Actsaved Oct 29, 2026 · 2 facts
- Province of British Columbia – Gambling in B.C.saved Oct 29, 2026 · 4 facts
- RACJ – Exploiter un tirage, une loterie instantanée ou une roue de fortunesaved Oct 29, 2026 · 2 facts
- Sask Lotteries – home pagesaved Oct 29, 2026 · 1 fact
- WCLC – About WCLCsaved Oct 29, 2026 · 5 facts
- WCLC – Frequently asked questionssaved Oct 29, 2026 · 3 facts
- WCLC – Identifying lottery scamssaved Oct 29, 2026 · 2 facts
- WCLC – Legalsaved Oct 29, 2026 · 3 facts
- WCLC – Travel tipssaved Oct 29, 2026 · 1 fact
- WCLC – Unclaimed prizessaved Oct 29, 2026 · 1 fact
Operator pages
- Loto-Québec – Astro, page du jeusaved Oct 29, 2026 · 2 facts
- Loto-Québec – Extra, page du jeusaved Oct 29, 2026 · 6 facts
- Loto-Québec – Extra, structure de lots et chances de gagnersaved Oct 29, 2026 · 1 fact
- Loto-Québec – Kinzo, comment jouersaved Oct 29, 2026 · 6 facts
- Loto-Québec – La Mini, page du jeusaved Oct 29, 2026 · 3 facts
- Loto-Québec – Lotto D, page du jeusaved Oct 29, 2026 · 2 facts
- Loto-Québec – Lotto Poker, page du jeusaved Oct 29, 2026 · 3 facts
- Loto-Québec – Québec 49, page du jeusaved Oct 29, 2026 · 4 facts
- Loto-Québec – Québec Max, page du jeusaved Oct 29, 2026 · 9 facts
- Loto-Québec – Sprinto, page du jeusaved Oct 29, 2026 · 2 facts
- Loto-Québec – Tout ou rien, page du jeusaved Oct 29, 2026 · 3 facts
- Loto-Québec – Triplex, page du jeusaved Oct 29, 2026 · 2 facts
- Ontario – Ontario Lottery and Gaming Corporation Act, 1999saved Oct 29, 2026 · 5 facts
Saved copies of documents
- Atlantic Lottery – Atlantic 49 Game Conditions (archived copy)saved Oct 29, 2026 · 5 facts
- Atlantic Lottery – Atlantic 49 page (archived copy, 2026)saved Oct 29, 2026 · 4 facts
- Atlantic Lottery – Bucko Game Conditions (2015, archived copy)saved Oct 29, 2026 · 4 facts
- Atlantic Lottery – Keno Atlantic Game Conditions (archived copy)saved Oct 29, 2026 · 7 facts
- Atlantic Lottery – Keno Atlantic page (archived copy, 2026)saved Oct 29, 2026 · 16 facts
- Atlantic Lottery – LOTTO 4 Game Conditions (archived copy)saved Oct 29, 2026 · 2 facts
- Atlantic Lottery – Lotto games page (archived copy, 2026)saved Oct 29, 2026
- Atlantic Lottery – Rules and Regulations (archived copy, 2026)saved Oct 29, 2026 · 1 fact
- Atlantic Lottery – Salsa Bingo Game Conditions (2015, archived copy)saved Oct 29, 2026 · 8 facts
- Atlantic Lottery – Scratch’n Win ticket 4120 (archived copy, 2026)saved Oct 29, 2026 · 1 fact
- Atlantic Lottery – TAG Game Conditions (archived copy)saved Oct 29, 2026 · 5 facts
- Atlantic Lottery – TAG page (archived copy, 2026)saved Oct 29, 2026 · 4 facts
- Atlantic Lottery – Terms and Conditions (archived copy, 2026)saved Oct 29, 2026 · 1 fact
- Atlantic Lottery – Top remaining Scratch’n Win prizes (archived copy, 2026)saved Oct 29, 2026 · 1 fact
- BCLC – BC/49 Game Conditions and Prize Structure Statement (archived copy)saved Oct 29, 2026 · 7 facts
- BCLC – Extra Game Conditions and Prize Structure Statement (archived copy)saved Oct 29, 2026 · 6 facts
- BCLC – Instant Ticket Game Conditions (archived copy)saved Oct 29, 2026 · 1 fact
- BCLC – Keno Game Conditions and Prize Structure Statement (2025, archived copy)saved Oct 29, 2026 · 23 facts
- BCLC – Rules and Regulations Respecting Lotteries and Gaming (archived copy)saved Oct 29, 2026 · 1 fact
- BCLC – Terms of Use (archived copy, 2026)saved Oct 29, 2026 · 1 fact
- BCLC PlayNow – BC/49 page (archived copy, 2026)saved Oct 29, 2026 · 8 facts
- BCLC PlayNow – Gold Scratch & Win ticket (archived copy, 2026)saved Oct 29, 2026 · 1 fact
- BCLC PlayNow – How to Play Keno (archived copy, 2026)saved Oct 29, 2026 · 15 facts
- BCLC PlayNow – Keno page (archived copy, 2026)saved Oct 29, 2026 · 3 facts
- BCLC PlayNow – robots file (archived copy, 2026)saved Oct 29, 2026 · 1 fact
- LégisQuébec – Act respecting the Société des loteries du Québec, S-13.1 (archived copy)saved Oct 29, 2026 · 2 facts
- LégisQuébec – Loi sur la Société des loteries du Québec, S-13.1 (copie archivée)saved Oct 29, 2026 · 2 facts
- New Brunswick – Gaming Control Act (archived copy)saved Oct 29, 2026 · 1 fact
- New Brunswick – Ticket Lottery Regulation 2008-111 (archived copy)saved Oct 29, 2026 · 1 fact
Draw results
- Loto-Québec – Conditions of usesaved Oct 29, 2026 · 2 facts
- Loto-Québec – robots filesaved Oct 29, 2026 · 1 fact
- OLG – robots filesaved Oct 29, 2026 · 1 fact
- OLG – Website User Agreementsaved Oct 29, 2026 · 4 facts
- WCLC – Legalsaved Oct 29, 2026 · 4 facts
Help lines
- 988.casaved Oct 29, 2026
- 988.casaved Oct 29, 2026
- 988lifeline.orgsaved Oct 29, 2026
- bienjouer.lotoquebec.comsaved Oct 29, 2026
- connexontario.casaved Oct 29, 2026
- gov.bc.casaved Oct 29, 2026
- gov.bc.casaved Oct 29, 2026
- igamingontario.casaved Oct 29, 2026
- igamingontario.casaved Oct 29, 2026
- mbll.casaved Oct 29, 2026
- mbll.casaved Oct 29, 2026
- ncpgambling.orgsaved Oct 29, 2026
- novascotia.casaved Oct 29, 2026
- portail.lotoquebec.comsaved Oct 29, 2026
- quebec.casaved Oct 29, 2026
- saskatchewan.casaved Oct 29, 2026
- saskatchewan.casaved Oct 29, 2026
- try.playalberta.casaved Oct 29, 2026
From rule to number
- Read the game conditionsWe take the official game conditions and prize charts published by the organiser of the game.
- Count the combinationsCode counts all possible combinations and the winning ones for each prize tier, using the exact rules of the draw.
- Keep the exact fractionEach chance is stored as an exact fraction. Nothing is rounded until the number is shown on the page.
- Run the lock testOur value is compared with the operator's published odds. There are 211 such tests. If one fails, the page is not built.
- List the sourcesThe sources and their dates are listed in the source list at the top of this page.
How one chance is calculated
chance of a prize tier = winning combinations ÷ all possible combinations
Example: For example, the Lotto 6/49 jackpot has one winning combination out of all possible combinations. The Lottery Odds Calculator shows each tier.
The numbers behind the site
Official documents
212Game conditions, prize charts and provincial rules we read and date.
Facts taken from them
636Prizes, prices, rules and published odds, each with its source.
Lock tests
211Checks of our calculated odds against the odds printed by operators.
Last full check
October 29, 2026The date all sources were last checked again.
Who writes KenoMath
Who we are and what the site does and does not do.
Where each kind of number comes from
| Kind of number | Source | How we get it |
|---|---|---|
| Odds of each prize tier | Official game conditions | Calculated by code, then lock-tested |
| Fixed prizes and ticket prices | Official game conditions and prize charts | Read from the document, with its date |
| Expected value per ticket | Odds and prizes above | Calculated by code |
| Province rules and ages | Official provincial documents | Quoted from the source, with its date |
| Help lines | Official help line pages | Read from the source, never typed |
We name game organisers only as the source of their game rules. We do not link to them or rate them.
Exact value vs rounded value
Operator's odds chart
- Odds rounded for quick reading
- The last digit is the result of rounding
KenoMath
- Exact fraction from the count of combinations
- Rounded only once, when shown
- Shown with more digits, so the last digit can differ
- The lock test compares at the chart's precision, so rounded values match
Words used on this page
- Game conditions
- The official document that sets the rules, prizes and price of a game.
- Prize tier
- One level of prize, for example 5 of 6 or 6 of 7 + bonus.
- Exact fraction
- Winning combinations divided by all combinations, kept without rounding.
- Lock test
- A check that stops the build if our calculated odds, rounded the way the operator publishes them, do not match the operator's published odds.
Questions
How accurate are the odds on KenoMath?
Odds are calculated exactly by code from the rules in the official game conditions. Our calculated odds are compared with the operator's published odds in lock tests. For the basics, see Lottery Math, Explained Simply.
What happens if a game rule changes?
We read the new official document, update the fact and its date, and code recalculates every number that depends on it. The last full check of all sources was on October 29, 2026.
Why can the last digit of your odds differ from the official chart?
Published odds are rounded. We keep the exact fraction and may show more digits, so the last digit can differ. Rounded the way the chart is rounded, our value matches – the lock test checks this.
Where do the numbers on KenoMath come from?
From official documents (game organisers, provinces, official help line pages) and from code calculations based on them – 212 documents with 636 facts. The list at the top of this page shows each one with its date.