Turning a price into a probability

A price is a probability in disguise. Once you can convert one into the other, every other idea in betting becomes arithmetic you can check.

A betting price is a probability wearing a disguise. Converting one into the other is the single most useful skill in betting, because it turns an opinion you cannot argue with ("the Chiefs are -250") into one you can ("the market says 71.4%, and I think it is closer to 65%").

The number you get is called the implied probability. Two formulas cover every American price.

The two formulas

If you prefer decimal odds there is only one formula, and it is easier: 1 ÷ decimal. A price of 2.50 implies 1 ÷ 2.50 = 40%. Same answer.

Working one out end to end

  1. A team is -250 on the moneyline.
  2. Drop the sign: 250.
  3. 250 ÷ (250 + 100) = 250 ÷ 350.
  4. = 0.714.

The price implies a 71.4% chance of winning.

Why the numbers never add up to 100%

Here is the thing that surprises everyone the first time. Take a normal game where both sides are priced at -110 and convert both:

One of those two things is certain to happen, so the real probabilities must add to exactly 100%. They add to 104.76% instead. The extra 4.76 percentage points are not a rounding error and not a mistake — they are the sportsbook's fee, built into both prices at once.

That excess has a name: the overround. Implied probability always overstates the real chance, on every side of every market, because the fee is inside it.

This is the mistake that ruins EV calculations

If you compare a price against its own implied probability, you will always find a small negative edge — you are comparing the price with itself plus the fee. Any honest value calculation has to remove the fee first. That is the next lesson.

Break-even: the number to remember

Implied probability has a second reading. It is also the win rate you need to break even at that price.

What each price demands of you
PriceImplied probabilityYou must win this often to break even
-20066.67%66.7%
-15060.00%60.0%
-11052.38%52.4%
+10050.00%50.0%
+15040.00%40.0%
+30025.00%25.0%

The -110 row is the one worth memorising. 52.38%. Betting standard spreads, picking winners at 52% — which is genuinely better than a coin flip — still loses money slowly. That gap between 50% and 52.38% is the entire business model of a sportsbook, and it is what the next lesson is about.

Type any price and see its decimal, fractional and implied-probability forms at once. Use the odds converter.

Terms in this lesson