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Expected Value (EV) Betting

Core concept · Updated August 2026 · ~6 min read

If you learn one idea in betting, make it this one. Expected value is the long-run average result of a bet if you could place it thousands of times. A bet with positive expected value (+EV) makes money over time; a −EV bet loses over time. Everything else — line shopping, devigging, models, CLV — is just machinery for finding +EV. Winners don't chase wins; they collect +EV and let math do the rest.

The formula

Expected value

EV % = (true win probability × decimal odds − 1) × 100

If your true probability of winning times the payout beats 1, the bet is +EV. The gap between what a price implies and what you believe is true is your edge.

A worked example

Example

A book offers an underdog at +150 (decimal 2.50, implied 40%). You've devigged the sharpest books and concluded the true probability is actually 45%.

EV % = (0.45 × 2.50 − 1) × 100 = +12.5%. Over the long run you'd expect to win about 12.5 cents on every dollar staked at that price. That's a strong, very real edge.

Notice what did the work: you didn't need the bet to win. It can lose and still have been the right bet. Judging a bet by whether it won is called being results-oriented, and it's the fastest way to unlearn everything.

Where does the "true probability" come from?

This is the whole game, and there are only a few honest sources:

The catch

A +EV number is only as trustworthy as the probability behind it. A wide, one-sided, or stale quote can manufacture a fake edge. Real +EV comes from tight, two-sided markets with a genuine sharp anchor — not from one book being briefly wrong or slow.

🧮 EV Calculator →
Enter a price and your true probability to compute EV% instantly — and remove the vig to estimate that probability from the market.
🐟 Odds Piranha flags +EV bets for you

Educational content only — not betting advice. 21+. If gambling stops being fun, call 1-800-GAMBLER.