Implied Probability Explained

How market prices convert to probabilities, how to calculate your edge, and why implied probability is the single most important concept in prediction market trading.

9 min read · Probability · Updated Apr 2026
⚡ Quick Summary
  • What: Implied probability is the market's probability estimate embedded in a share price — a YES share at 72¢ means the crowd assigns 72% probability to that outcome happening.
  • Why it matters: Your entire edge on Polymarket comes from spotting the gap between implied probability and your own well-researched estimate — no gap, no trade.
  • Key conversion: Decimal odds → implied probability: 1 ÷ decimal odds. American odds (−150) → 150 ÷ (150 + 100) = 60%. Polymarket price IS the implied probability directly (65¢ = 65%).
  • Bottom line: When your estimate exceeds implied probability by 5+ percentage points AND the market has adequate liquidity, you have a quantifiable edge worth sizing with Kelly Criterion.

What Is Implied Probability?

Implied probability is the probability of an outcome as encoded by market prices or betting odds. It represents the collective wisdom of all market participants about how likely an event is to occur.

The term "implied" is important: it's the probability implied by the price, not a historical frequency or expert estimate. In an efficient market, implied probability equals the true probability. In practice, inefficiencies create opportunities for skilled traders.

Converting Odds to Implied Probability

Decimal Odds (most common in crypto/prediction markets)

Implied Prob = 1 / Decimal Odds Example: Odds = 2.00 → 1/2.00 = 50% Odds = 1.50 → 1/1.50 = 66.7% Odds = 3.00 → 1/3.00 = 33.3%

American Odds (moneyline)

Positive (+): Prob = 100 / (Odds + 100) Negative (-): Prob = |Odds| / (|Odds| + 100) Example: +200 → 100/(200+100) = 33.3% -150 → 150/(150+100) = 60%

Quick Reference Table

Decimal OddsAmerican OddsImplied ProbPolymarket Price
1.10-100090.9%91¢
1.25-40080.0%80¢
1.50-20066.7%67¢
2.00+10050.0%50¢
2.50+15040.0%40¢
3.00+20033.3%33¢
5.00+40020.0%20¢
10.00+90010.0%10¢

Implied Probability on Polymarket

Polymarket makes implied probability explicit: the price of a YES share in cents directly equals the implied probability in percent. YES at 65¢ = 65% implied probability. NO shares (= 1 − YES price) at 35¢ = 35% probability of NO.

This 1:1 relationship makes Polymarket one of the most intuitive probability markets in existence. You don't need to do any conversion — the price is the probability.

Example: "Will BTC reach $150,000 by end of ?" — YES at 32¢ means the market assigns 32% probability. If you believe the true probability is 45%, you have a 13 percentage-point edge and should consider buying YES.

Overround & the Vig

In traditional sportsbooks, the sum of implied probabilities across all outcomes exceeds 100%. This "overround" (or vig/juice) is the bookmaker's profit margin. A book that prices Team A at 1.90 and Team B at 1.90 (even money for both) has implied probs of 52.6% each, totaling 105.2% — a 5.2% overround.

On Polymarket, YES + NO prices always sum to ~$1.00, meaning zero theoretical overround. This is why prediction markets are considered more accurate than sportsbooks — there's no built-in bias toward pricing favorites too low.

Using Implied Probability to Find Edge

Your edge in any market is the difference between your probability estimate and the market's implied probability:

Edge = Your Probability − Implied Probability Positive edge → buy that outcome Negative edge → sell or avoid that outcome

If the market prices YES at 40% and your model says 55%, you have +15% edge. That's an excellent trade opportunity. Use the Kelly Criterion Calculator to size the position optimally.

Find Mispriced Markets with Poly-Sim Score
Our AI-powered tool scans active Polymarket markets and highlights ones where implied probability appears significantly mispriced.
Try Poly-Sim Score →

Found a mispriced market? To trade on Polymarket you need USDC on Polygon. The lowest-cost route: Kraken ACH transfer (free) → withdraw USDC on Polygon (~$0.90 flat fee). Full breakdown in our exchange comparison guide.

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