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Implied Probability Calculator
Convert betting odds to implied probability. Understand the likelihood of outcomes and identify value bets across all odds formats.
What Implied Probability Actually Tells You
Every betting line has a probability baked into it. When you see odds of +200 or 3.00, the bookmaker is essentially saying "we think this outcome has about a 33% chance of happening." That's the implied probability—the likelihood suggested by the odds themselves.
Now, bookmakers aren't just guessing. They're running sophisticated models, tracking betting patterns, and adjusting lines to balance their books. But here's the thing: they're not always right. And even when they are, they're building in their profit margin (the vig). That's where things get interesting for bettors.
If you can accurately assess the true probability of an outcome, and it's higher than the implied probability from the odds, you've found what's called a "value bet." Do this consistently over time and you've got the foundation of a winning betting strategy.
The Math Behind It
Converting odds to probability isn't too complicated once you know the formulas. For decimal odds, it's actually super simple: just divide 1 by the decimal odds and multiply by 100. So 2.50 odds = 1/2.50 = 0.40 = 40% probability.
American odds are a bit more work. Positive odds (like +150) use this formula: 100 ÷ (odds + 100). So +150 becomes 100 ÷ 250 = 40%. Negative odds (like -150) flip it around: take the absolute value and divide by (absolute value + 100). So -150 becomes 150 ÷ 250 = 60%.
Fractional odds require you to add the numerator and denominator together, then divide the denominator by that sum. For 3/1 odds: (1) ÷ (3+1) = 1/4 = 25%. Not the most intuitive, which is why a calculator helps.
Understanding the Vig
Here's something that trips up a lot of new bettors. If you look at both sides of a two-way market—say, an NFL point spread with -110 on each side—and calculate the implied probability for both outcomes, they'll add up to more than 100%. Usually around 104-105% for standard -110 lines.
That extra 4-5% is the bookmaker's edge, their built-in profit margin. It's why you can't just bet every favorite or every underdog and expect to break even. The odds are slightly tilted in the house's favor on every single bet.
This is why line shopping matters so much. If one book has -110 and another has -105, that's real money over the long run. The lower vig means you're getting closer to the "true" probability and giving yourself better odds of coming out ahead.
Finding Value Bets
Let's say you're looking at a tennis match. The odds on Player A are +180, which this calculator will tell you implies about a 35.7% chance of winning. But you've done your homework—you know Player A matches up well stylistically, the surface favors their game, and Player B is coming off a tough three-setter two days ago.
In your assessment, Player A actually has closer to a 45% chance of winning. That's a huge gap—nearly 10 percentage points. That's the kind of edge you're looking for. Even if you're only slightly more accurate than the market, finding these spots consistently is how sharp bettors make money.
Of course, being honest about your own probability assessments is crucial. It's easy to talk yourself into thinking a team has better chances than they actually do, especially if you're a fan. The implied probability gives you an objective baseline to compare against.
Practical Applications
Beyond finding value bets, implied probability helps with bankroll management. If you're using something like the Kelly Criterion to size your bets, you need both the odds and your estimated true probability. The implied probability serves as your starting point for comparison.
It's also useful for constructing parlays. When you see that three-leg parlay paying +600, you can break down each leg's implied probability and multiply them together to see what the combined probability actually is. Spoiler: it's usually way lower than you'd guess, which is why sportsbooks love promoting parlays.
Finally, tracking implied probabilities over time can reveal market movements. If a line moves from +150 to +130, the implied probability jumped from 40% to 43.5%. That's a significant shift that tells you where sharp money is going or where the bookmaker is trying to balance action.
How to Use This Calculator
- 1Select your odds format (American, Decimal, or Fractional)
- 2Enter the odds value
- 3View the calculated implied probability
- 4Compare against your own assessment to find value bets
Frequently Asked Questions
Q:What is implied probability?
Implied probability is the likelihood of an outcome as suggested by the betting odds. It converts odds into a percentage that represents the bookmaker's assessment (plus their margin) of an event occurring.
Q:How do you calculate implied probability from American odds?
For positive odds (+150): divide 100 by (odds + 100). For negative odds (-150): divide the absolute value of odds by (absolute value + 100). Then multiply by 100 for a percentage.
Q:What's the bookmaker's margin?
The bookmaker's margin (also called 'vig' or 'juice') is built into the odds. If you add up the implied probabilities for all possible outcomes, they'll total more than 100%, with the difference being the bookmaker's profit margin.
Q:Why is implied probability important?
Implied probability helps you identify value bets. If you believe the true probability of an outcome is higher than the implied probability from the odds, you may have found a positive expected value bet.
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