Expected Value Calculator: Quantify Your Edge Before Every Bet
Expected value is the average dollar return per bet if you ran the same spot thousands of times at the same odds and probability. A +EV bet does not mean you win today - it means the price is favorable given your estimated win probability. The hard part is sourcing a probability estimate that is honest rather than borrowed from the sportsbook itself.
Why EV beats win-loss records as a tracking metric
Short winning streaks at -EV odds are noise. Consistent +EV with disciplined probability sourcing is signal. EV forces you to separate two questions: Is this a good price? and Do I think this side wins? Without a probability estimate you can defend, you cannot answer the first question at all.
Closing Line Value (CLV) is the leading indicator that your probability estimates are calibrated. If your bets consistently open at better prices than where they close, your process is capturing real information about the market. CLV tracks whether your price advantage is repeatable - not just lucky.
Treat EV as bookkeeping on whether a price clears your threshold. A single positive EV result means nothing. A hundred of them means your inputs were honest.
How the EV formula works without a spreadsheet
EV = (Win probability x Profit if win) - (Loss probability x Stake). Multiply your estimated win chance by the profit you collect if correct, then subtract the stake times the chance you lose. That is the full calculation.
The common mistake is using the book's own implied probability as the Win % input. That always returns zero EV before vig and negative after it. Your estimate needs to come from somewhere independent - a sharp market stripped of vig, a power rating, or your own model.
Pinnacle and Circa price two-sided action from sophisticated bettors and adjust accordingly. Strip the vig off their lines using the no-vig calculator and you have the sharpest publicly available reference for fair win probability.
- EV above zero means the price exceeds what your probability estimate says the bet is worth.
- EV % = EV divided by Stake - useful for comparing edges at different wager sizes.
- Profit If Win is net dollars collected if the bet grades correctly at the quoted odds.
Step by step: using this calculator
The Win % field is the most important input. Enter the probability you actually believe, not the book's implied number. If you do not have a defensible estimate, the EV output is meaningless regardless of what it prints.
Read EV % and Profit If Win together. High Profit If Win with negative EV % means the payout is enticing but your probability says to pass.
- Enter Wager - the amount you plan to stake.
- Enter Odds - the posted price you are evaluating.
- Enter Win % - your independent probability estimate as a percentage.
- Read Expected Value in dollars, EV %, and Profit If Win.
- Cross-check Win % against a no-vig sharp line if you have access to one.
Worked example: +150 odds with a 45% win estimate
You find a prop at +150 and your model says the true win probability is 45%. Stake $100. Profit if win = $150. Loss probability = 55%.
EV = (0.45 x $150) - (0.55 x $100) = $67.50 - $55.00 = +$12.50. EV % = 12.5%. That is a meaningful edge.
For comparison, if you used the book's implied probability of 40% (which is what +150 implies before vig) as your Win %: EV = (0.40 x $150) - (0.60 x $100) = $60 - $60 = $0 before vig, and negative after it. The entire edge lives in whether you trust your estimate over the book's price.
Profit if win
+$150
EV %
12.5%
Expected value
+$12.50
Common mistakes when sourcing win probability
The biggest mistake is plugging the book's implied probability into Win %. That makes EV zero or negative by definition. Your estimate needs an independent source.
Single-game samples fool bettors into thinking a hot streak confirms their model. Track EV across at least 100 bets before drawing calibration conclusions.
Ignoring line movement is another leak. If a line opens at +150 and closes at -110, the market is pricing the true probability near 52%, not the 40% your original price implied. Use CLV as feedback to improve estimates over time.
What most calculator pages skip
The OddsGuard extension shows best available odds across 75+ books while you browse, which means you can populate the Odds field with the actual best price rather than whatever the first book you checked is offering. Getting an extra 10 cents of odds on a +EV spot is often worth as much as the edge estimate itself.