Canada

Lotto Max odds — every division, derived

Every figure on this page is calculated from the game's published rules. The operator's own odds page is linked below as verification — but the working is here, on this page.

The combinatorics

A standard entry picks 7 numbers from 52. The number of possible combinations is:

C(52, 7) = 133,784,560

After the 7 winning numbers, 1 supplementary/bonus ball is drawn from the same pool — they create extra divisions but don't change the jackpot odds.

Division odds

DivisionMatchWinning combinationsDerived oddsProbabilityPrizeOperator says
Match 7 of 77 main11 in 133,784,5607.475e-9Jackpot pool share — starts at $10M, caps at $90M (official odds 1 in 33,446,140 per $6 four-selection play)
Match 6 + Bonus6 main + 1 bonus71 in 19,112,0805.232e-8Share of 18.5% of the Pools Fund
Match 6 of 76 main + 0 bonus3081 in 434,3652.302e-6Share of 18.85% of the Pools Fund
Match 5 + Bonus5 main + 1 bonus9241 in 144,7886.907e-6Share of 12.25% of the Pools Fund
Match 5 of 75 main + 0 bonus19,8661 in 6,7340.0148%Share of 27.5% of the Pools Fund
Match 4 + Bonus4 main + 1 bonus33,1101 in 4,0410.0247%Share of 22.9% of the Pools Fund
Match 4 of 74 main + 0 bonus463,5401 in 2890.3465%$20 fixed
Match 3 + Bonus3 main + 1 bonus463,5401 in 2890.3465%$20 fixed
Match 3 of 73 main + 0 bonus4,751,2851 in 28.163.55%Free Play (four Quick Pick selections)

"Winning combinations" counts how many of the possible outcomes land in that division. "Operator says" is the operator's published figure — shown so you can check us against them (small differences are their rounding).

Odds of winning any prize

1 in 23.34

Sum of all division probabilities — usually the number the ads quote.

Odds of the top prize

1 in 133,784,560

One standard game. Two games doubles it — and it's still tiny.

How long are these odds? Winning the top prize is about as likely as calling 27 coin flips in a row correctly (227 133,784,560). If you bought one line every draw, at two draws a week you would expect one top-prize win roughly every 1,286,390 years.

Sources

Last verified: 2026-08-29