Expected value (EV) in sports betting explained
Understand what expected value means in sports betting, how to calculate it, and why +EV betting is the foundation of profitable long-term wagering.
Key takeaways
- Expected value (EV) is the average profit or loss per bet over many repetitions
- Positive EV (+EV) means a bet is profitable long-term; negative EV (-EV) means it loses
- EV = Stake × (Probability × (Odds - 1) - (1 - Probability))
- Finding +EV bets requires knowing the true probability, not just the bookmaker's odds
- Professional bettors only place bets with positive expected value
What is expected value?
Expected value (EV) is a concept from probability theory that tells you the average outcome of a bet if you placed it many times. In sports betting, it represents the average profit or loss per bet over the long run.
If a bet has positive expected value (+EV), it means you'll profit on average each time you place it. If it has negative expected value (-EV), you'll lose on average. Every bet at a bookmaker has an EV — your job is to find the ones where it's positive.
Think of it like this: if you could place the exact same bet 10,000 times, +EV bets would leave you with more money than you started with, while -EV bets would leave you with less.
How to calculate expected value
The formula for expected value in betting is:
EV = Stake × (Probability × (Odds - 1) - (1 - Probability))
Or expressed as edge percentage:
Edge% = (Probability × Odds) - 1
Example: You estimate a team has a 55% chance of winning. The bookmaker offers odds of 2.00.
Edge = (0.55 × 2.00) - 1 = 0.10 = 10%
EV on a €100 bet = €100 × (0.55 × 1.00 - 0.45) = €10.00
This bet has a 10% edge and an expected profit of €10 per €100 staked.
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Sign up freeHow to find the true probability
The hardest part of EV calculation is estimating the true probability. Bookmaker odds include a margin, so they don't reflect true probabilities directly. Here are the main approaches:
- Sharp bookmaker devigging. Remove the margin from a sharp bookmaker's odds (like Pinnacle) using a fair odds calculator. The resulting fair odds represent the market's best estimate of true probability.
- Statistical models. Build or use models that estimate probabilities from historical data, form, and other factors.
- Consensus odds. Average odds across many bookmakers and remove the margin. More bookmakers = more information.
For most bettors, devigging Pinnacle's odds is the most practical and reliable method. It doesn't require building your own model and leverages the collective wisdom of the sharpest market.
Applying EV in practice
Finding +EV bets usually comes down to one thing: getting odds at a soft bookmaker that exceed the fair odds derived from a sharp bookmaker.
Practical workflow:
- Check the fair odds from Pinnacle (removing their margin)
- Compare against odds at other bookmakers
- If another bookmaker offers odds higher than the fair odds, that's a +EV bet
- Calculate your edge to determine how much +EV the bet is
- Size your stake appropriately (see Kelly criterion)
Important: Not every +EV bet wins. Expected value is about the long run. You need a large sample size (hundreds to thousands of bets) for EV to reliably convert to actual profit. This is why bankroll management and proper staking are essential.
Why most bets are -EV
The vast majority of bets at bookmakers have negative expected value. This is by design — the bookmaker's margin ensures that, on average, they profit on every market regardless of the outcome.
When a bookmaker offers 1.91/1.91 on a coin flip, each side has -4.5% EV. The bettor loses money on average, and the bookmaker collects.
+EV bets exist because:
- Market inefficiency. Soft bookmakers are slower to adjust their odds than sharp books, creating temporary value windows.
- Line movement. When odds shift due to new information or money flow, some books lag behind, briefly offering outdated (and potentially +EV) prices.
- Promotions. Free bets, enhanced odds, and cashback offers can turn otherwise -EV bets into +EV opportunities.
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