Hong Kong

Mark Six 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 6 numbers from 49. The number of possible combinations is:

C(49, 6) = 13,983,816

After the 6 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
1st division6 main11 in 13,983,8167.151e-8Jackpot — 45% of divisible fund, minimum HK$8 million1 in 13,983,816
2nd division5 main + 1 bonus61 in 2,330,6364.291e-7Pool share (15% of divisible fund)1 in 2,330,636
3rd division5 main + 0 bonus2521 in 55,4911.802e-5Pool share (40% of divisible fund)
4th division4 main + 1 bonus6301 in 22,1974.505e-5Fixed HK$9,600
5th division4 main + 0 bonus12,9151 in 1,0830.0924%Fixed HK$640
6th division3 main + 1 bonus17,2201 in 8120.1231%Fixed HK$320
7th division3 main + 0 bonus229,6001 in 60.911.64%Fixed HK$40

"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 53.66

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

Odds of the top prize

1 in 13,983,816

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 23.7 coin flips in a row correctly (223.7 13,983,816). If you bought one line every draw, at two draws a week you would expect one top-prize win roughly every 134,460 years.

Sources

Last verified: 2026-08-29