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Positive EV Betting Formula Explained

Learn the +EV formula, break-even probability, and how to measure edge before placing a sports bet.

1 min read

Expected value tells you whether a price is profitable over the long run, not whether one ticket wins tonight.

The Core +EV Formula#

Use this formula:

  • EV = (Win Probability x Profit if Win) - (Lose Probability x Stake)

Where:

  • Win Probability is your own projected percentage converted to decimal.
  • Lose Probability = 1 - Win Probability.
  • Profit if Win depends on the market odds and your stake.

Break-Even Probability#

Every market price has a minimum required win rate.

  • Break-Even % = (1 / Decimal Odds) x 100

If your projection is above break-even, your edge is positive.

Quick Example#

  • Stake: $100
  • Market odds: 2.10 decimal
  • Your projected win probability: 52%

Math:

  • Profit if win = $110
  • EV = (0.52 x 110) - (0.48 x 100) = 57.2 - 48 = +$9.20
  • EV% = 9.20%

This is a positive expected value setup.

Practical Workflow#

  1. Convert the market odds to implied and break-even percentage.
  2. Build your own win probability estimate.
  3. Compute EV and edge.
  4. Only consider bets with meaningful positive EV.

Use the +EV Calculator for the full EV output, the Odds Converter for fast format conversion, and the How to Use the +EV Calculator guide for a step-by-step workflow.

Common Questions

What is the expected value formula in betting?

Expected value is (win probability x profit if win) - (lose probability x stake). A positive result indicates a +EV bet.

How do I know if a bet is +EV?

Compare your estimated probability to the break-even probability from the market odds. If your estimate is higher, the bet can be +EV.

Try the Calculators