Why do parlays pay so much and win so rarely?
A parlay combines several bets into one ticket. Every leg has to win or the whole thing loses. In exchange, the payouts multiply rather than add, which is exactly why they're the most heavily marketed product on every sportsbook app.
Where the payout comes from
The math is simple multiplication in decimal odds. A -110 bet is 1.909 in decimal. Two of them parlayed is 1.909 × 1.909 = 3.645, which is about +264.
Now compare that to what a fair payout would be. Strip the vig and each -110 leg is really a 50% proposition. Two independent 50% events both hitting is 25%, a fair price of +300. The book pays +264. The gap is the vig, charged twice.
| Legs | Parlay price | Fair (no-vig) price | Theoretical hold |
|---|---|---|---|
| 1 | -110 | +100 | 4.5% |
| 2 | +264 | +300 | 8.9% |
| 3 | +596 | +700 | 13.0% |
| 4 | +1228 | +1500 | 17.0% |
| 5 | +2436 | +3100 | 20.7% |
| 6 | +4741 | +6300 | 24.4% |
Same-game parlays are a different animal
Legs from the same game aren't independent. A quarterback throwing for 350 yards makes his receiver's yardage prop far more likely. Books price same-game parlays with a correlation model rather than by plain multiplication, and that model is where additional margin lives. Never assume an SGP price is 'the legs multiplied'.
