How Positive Expected Value (EV)
Works in Sports Betting

Last updated: October 21, 2025

The complete guide to understanding expected value, calculating EV, and finding profitable betting opportunities that give you a mathematical edge.

What is Expected Value in Sports Betting?

Expected Value (EV) is the mathematical foundation of profitable sports betting. It represents the average amount you can expect to win or lose per bet over time. When you have positive expected value (+EV), you have a mathematical edge over the sportsbook.

Key Concept

Positive EV = Long-term Profit
Even if you lose individual bets, consistently betting on +EV opportunities will make you money over hundreds of bets.

Think of EV as your "edge" - the percentage advantage you have over the house. While casinos and sportsbooks are designed to have a house edge, +EV betting flips this dynamic, giving you the mathematical advantage.

The Expected Value Formula

The Formula

EV = (Probability × Win Amount) - (1 - Probability) × Bet Amount
EV: Expected Value
Probability: True probability of winning (0-1)
Win Amount: Profit if you win
Bet Amount: Amount you're risking

Positive EV (+EV)

You have a mathematical edge. Bet this!

Negative EV (-EV)

The sportsbook has the edge. Avoid this bet.

Zero EV (0 EV)

Fair odds. No edge for either side.

Real Example

Bet Amount:$100
Sportsbook Odds:+150
True Probability:65%
Win Amount:$150
Calculation:(0.65 × $150) - (0.35 × $100)
Expected Value:+$62.50

This bet has positive EV, meaning you expect to profit $62.50 on average for every $100 bet.

The Challenge: Finding True Probability

The biggest challenge in EV betting isn't the math - it's finding the true probability of an outcome. Sportsbooks don't give you fair odds; they add a "vig" (vigorish) to ensure they profit.

Sportsbook Odds

Team A:-110
Team B:-110
Implied Prob:52.4% each
Total:104.8%

The extra 4.8% is the sportsbook's vig - their built-in profit margin.

True Odds (No Vig)

Team A:50%
Team B:50%
Total:100%

True probabilities add up to 100% - no vig, no built-in house edge.

How OpenWager Finds True Probability

Market Analysis

Analyze odds across multiple sportsbooks to find consensus

AI Modeling

Machine learning models predict true probabilities

Vig Removal

Remove sportsbook margins to reveal true odds

Types of +EV Opportunities

Line Shopping

Different sportsbooks offer different odds for the same game. Finding the best line can create +EV opportunities.

Example: Team A -3.5 at DraftKings vs Team A -4 at FanDuel

Line Movement

Lines move as money comes in. Getting early action on sharp line movements can be +EV.

Example: Line moves from -3 to -3.5, but you got -3

Arbitrage

Betting both sides of a game at different sportsbooks to guarantee profit regardless of outcome.

Example: Team A +105 at Book A, Team B +105 at Book B

Model Disagreement

When your model's probability differs significantly from the sportsbook's implied probability.

Example: Your model says 60%, sportsbook implies 50%

Timing Edge

Getting odds before they adjust to new information (injuries, weather, etc.).

Example: Betting before injury news moves the line

Promotional Offers

Taking advantage of bonuses, free bets, or enhanced odds that create +EV situations.

Example: Risk-free bet promotions

Bankroll Management for +EV Betting

Having +EV bets is only half the battle. Proper bankroll management ensures you can survive the inevitable losing streaks and maximize long-term profits.

Kelly Criterion

The Kelly Criterion tells you the optimal bet size based on your edge and bankroll:

Kelly % = (bp - q) / b
b = Decimal odds - 1
(e.g., +150 = 2.5 - 1 = 1.5)
p = True probability
(e.g., 65% = 0.65)
q = 1 - p
(e.g., 1 - 0.65 = 0.35)

Conservative Approach

Quarter Kelly

Bet 25% of Kelly recommendation for safety

Fixed Percentage

Bet 1-3% of bankroll regardless of edge

Risk Management Rules

Never Risk More Than 5%

Even on the strongest +EV bets

Set Stop-Loss Limits

Stop betting if you lose 20% of bankroll

Common +EV Betting Mistakes

Mistake #1: Confusing EV with Win Rate

A bet can have +EV even if it loses. EV is about long-term expectation, not individual outcomes.

Mistake #2: Overbetting Your Edge

Betting too much on +EV opportunities can lead to ruin even with an edge.

Mistake #3: Ignoring Market Width

Wide markets often indicate sharp action. Narrow markets are usually sharper.

Mistake #4: Not Shopping Lines

Different sportsbooks offer different odds. Always find the best line available.

Mistake #5: Chasing Losses

Increasing bet sizes after losses is a recipe for disaster, even with +EV bets.

Mistake #6: Not Tracking Results

You can't improve what you don't measure. Track your EV bets and performance.

Ready to Start Finding +EV Picks?

Understanding EV is just the beginning. Our AI-powered platform does the heavy lifting, finding +EV opportunities across all major sportsbooks in real-time.