How parlay math works
A parlay multiplies. Convert each leg to decimal odds, multiply them together, and that product is the parlay's combined decimal price. Convert back to American to display, then multiply by your stake for the payout.
For example, three -110 legs each convert to a decimal of about 1.909. Multiply: 1.909 times 1.909 times 1.909 is about 6.958. Subtract 1 and multiply by 100, and that is roughly +596 in American odds. A $100 stake returns about $695.79, of which $595.79 is profit, but only if all three legs win.
Why every leg matters
The combined probability is also the product of each leg's probability, so adding legs raises the payout and lowers the chance of winning at the same time. Three coin-flip legs (50 percent each) imply a 12.5 percent combined chance. The more legs you add, the larger the gap between the payout and the underlying odds of hitting all of them.
Same-game parlays are different. Sportsbooks price the legs as correlated, so a same-game parlay usually pays less than this independent-leg math suggests. Use this calculator for cross-game parlays, and confirm same-game prices at the sportsbook.
Shop the line first
Before you place a parlay, the price of each leg varies by sportsbook. A few cents of difference per leg compounds across a multi-leg ticket. See today's biggest line differences and read our line shopping guide and American odds primer.