How the Moneyline Odds Calculator works
American moneyline odds are the way U.S. sportsbooks quote a bet. They are always centered on $100. A positive number (like +150) is an underdog and tells you the profit on a $100 wager. A negative number (like -200) is a favorite and tells you how much you must risk to profit $100. This calculator takes any moneyline and your stake, then converts it into the four numbers that actually matter: implied win probability, decimal odds, profit, and total payout.
The exact formulas
For positive odds (+M, the underdog):
- Implied probability = 100 / (M + 100)
- Decimal odds = (M / 100) + 1
- Profit on a stake S = S × (M / 100)
For negative odds (−M, the favorite), where M is the absolute value:
- Implied probability = M / (M + 100)
- Decimal odds = (100 / M) + 1
- Profit on a stake S = S × (100 / M)
Total payout is always the stake plus the profit (stake × decimal odds). For example, +150 with a $100 stake gives implied probability 100/250 = 40%, decimal odds 2.50, profit of $150, and a total payout of $250. A −200 line with a $100 stake gives implied probability 200/300 = 66.67%, decimal odds 1.50, profit of $50, and a $150 payout.
Why implied probability matters
The implied probability is the break-even win rate the price demands. If a book prices a team at -150, you need to win that bet about 60% of the time just to break even over the long run (150 / 250 = 60%). If you believe the true chance is higher than the implied probability, the bet has positive expected value; if it is lower, the book has the edge. Note that the implied probabilities on both sides of a real market add up to more than 100% — the excess is the sportsbook's margin, called the "vig" or "juice." This calculator reports the raw implied probability and does not strip out the vig.
Common reference points
- +100 (even money) = 50.00% implied, 2.00 decimal, doubles your stake on a win.
- -110 (the standard spread/total price) = 52.38% implied, 1.909 decimal; a $110 bet profits $100.
- +200 = 33.33% implied, 3.00 decimal; a $100 bet profits $200.
- -500 (heavy favorite) = 83.33% implied, 1.20 decimal; you risk $500 to win $100.