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Prediction market odds converter

Translate a price for a binary contract paying $1 into other odds formats. Use the price you can actually buy at when comparing contracts; a displayed midpoint is not necessarily an available fill.

Odds converter

A prediction-market price in cents is already an implied probability. This is the table you need when a sportsbook quotes the same event in American odds and you want to know which side is cheaper.

At 42¢ you pay $0.42 for a contract that settles at $1. The fee-free break-even probability is 42.0%; costs raise that threshold.

Implied probability42.0%
Decimal odds2.381
American odds+138
Fractional1.38 / 1
Break-even win rate42.0%

How to use this calculator

  1. Enter the purchase price between 1¢ and 99¢.
  2. Read the equivalent probability and odds formats.
  3. Before comparing two venues, check that the outcomes and settlement rules match.

Formula

  • p = price in cents / 100
  • Decimal odds = 1 / p
  • American odds = 100 × (1 − p) / p when p < 0.5; otherwise −100 × p / (1 − p)
  • Fractional odds = (1 / p − 1) to 1

Worked example

At 40¢, implied probability is 40%, decimal odds are 2.50 and American odds are +150. A $40 purchase represents 100 contracts: a winning settlement pays $100, including the $40 cost. The gross profit is $60, before fees.

Assumptions and limitations

The conversion assumes a $1 winning payout and zero losing payout. Implied probability is a translation of price, not an independent forecast. Fees, slippage and different settlement rules change the comparison.

Common questions

Does a 40¢ price mean a guaranteed 40% chance?

No. It is the probability implied by that price under a simple binary payout model. The actual probability can differ.

Which price should I enter?

Use the expected execution price. For an immediate purchase that is usually an available ask, subject to sufficient size, rather than a headline midpoint or last trade.

Sources and methodology

Examples are our arithmetic illustrations. Linked references explain the underlying market mechanics or model; they do not endorse a result or a trade.

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