United States (Michigan)

Lotto 47 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 47. The number of possible combinations is:

C(47, 6) = 10,737,573

Division odds

DivisionMatchWinning combinationsDerived oddsProbabilityPrizeOperator says
Match 6 of 66 main11 in 10,737,5739.313e-8Jackpot (annuity or cash), rolls until won1 in 10,737,573
Match 5 of 65 main2461 in 43,6492.291e-5$2,500 fixed1 in 43,649
Match 4 of 64 main12,3001 in 8730.1146%$100 fixed1 in 873
Match 3 of 63 main213,2001 in 50.361.99%$5 fixed1 in 50

"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 47.56

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

Odds of the top prize

1 in 10,737,573

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 23.4 coin flips in a row correctly (223.4 10,737,573). If you bought one line every draw, at two draws a week you would expect one top-prize win roughly every 103,246 years.

Sources

Last verified: 2026-08-29