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Implied probability

Implied probability is the market's estimate of an outcome's chance, read straight off the price. In a binary market the Yes price is the implied probability: a Yes share at $0.72 implies a 72% chance. The bid-ask spread turns that number into a narrow range. Arbitrage shows up where the implied probabilities of related markets disagree.

Formula

Implied probability = Yes price / $1.00 payout

The bid and the ask give two different answers, so the honest reading is a range with the midpoint as the estimate.

How to read an implied probability

In a binary market a winning share pays $1.00, so the price reads directly as a probability. A Yes share at $0.72 is the market saying roughly 72%.

Roughly, because there are two prices. If Yes trades at $0.72 and No at $0.29, the two sides imply 72% and 71%, and the market's estimate sits in that band. Quoting a single figure to the decimal point overstates what the book says.

What sits inside the number

The pair rarely sums to exactly $1.00. The excess is the spread, which is the cost of trading against the resting orders, and it widens in thin markets. Trading fees and, on some platforms, the cost of moving capital in and out come out of the same margin.

Long shots carry a further distortion. Contracts priced under about $0.05 tend to trade above their true probability, the same favorite-longshot bias seen in other betting markets, because a cheap ticket with a large payout attracts buyers regardless of value.

Where 0xinsider uses implied probability

The live feed lists each large trade's fill price, which is the implied probability that trader paid. One fill is one side of the spread, so read it as one end of the range, not the midpoint.

Worked example

Yes at $0.72, No at $0.29. The implied probability sits between 71% and 72% (since 1 − 0.29 = 0.71). The midpoint estimate: a 71.5% chance the event occurs.

$0.72
Implied probability from Yes price
72% implied probability

Implied probability on 0xinsider

Live feed

Each large trade's fill price, which is the probability the trader paid for.

Live feed

Implied probability on live data

The leaderboard ranks S, A, and B wallets, graded mostly on realized profit. The live feed lists large Polymarket trades as they fill on Pro, and 24 hours later without it.

Picks and market activity

Read the published picks or follow large trades. The free feed runs 24 hours behind; Pro has no delay.