Calculating expected value (EV) in sports betting is a crucial skill for any bettor looking to gain an edge over the bookmakers. The concept of EV focuses on the potential profitability of a wager based on the odds offered and the actual probability of an event occurring. In this article, we will explore the nuances of EV, how to calculate it, and offer practical advice to enhance your sports betting strategies.
What is Expected Value in Sports Betting?
Expected value is a mathematical concept that helps bettors evaluate the potential outcomes of their wagers. In sports betting, EV quantifies whether a particular bet is likely to yield a profit in the long run. Essentially, a positive EV indicates a potentially profitable bet, while a negative EV suggests that the wager could lead to losses over time.
Calculating Expected Value: The Formula

The formula to calculate expected value is relatively straightforward:
\[ \text{EV} = (\text{Probability of Winning} \times \text{Payout}) (\text{Probability of Losing} \times \text{Amount Wagered}) \]
Where:
Probability of Winning is your estimation of the likelihood that the event will occur.
Payout is the amount you win if your bet is successful, including your stake.
Probability of Losing is complementary to the probability of winning (1 Probability of Winning).
Amount Wagered is the total stake you made on the bet.
Example of EV Calculation
Suppose you find a football match where Team A is playing against Team B. You believe that Team A has a 60% chance of winning. The bookmakers offer odds of 2.00 (or +100 in American odds) on Team A.
Probability of Winning (Team A) = 0.60
Probability of Losing (Team A) = 1 0.60 = 0.40
If you wager $100, the payout on a winning bet would be:
\[
Payout = Odds × Stake = 2.00 × 100 = 200
\]
\[
\text{EV} = (0.60 \times 200) (0.40 \times 100)
\]
\[
\text{EV} = 120 40 = 80
\]
In this case, the EV of your bet is $80, suggesting that, on average, this is a profitable bet.
Five Tips for Calculating and Utilizing EV
Before placing a bet, conduct thorough research. Understanding the teams, players, and other factors such as injuries, weather conditions, and historical performance helps refine your probability estimates. The more accurate your evaluation of probabilities, the better your EV calculations will be.
Example: Instead of just relying on subjective feelings about Team A's performance, analyze their previous matchups against Team B, consider current form, and consider team injuries.
Different sportsbooks may offer various odds for the same event. It's essential to compare odds among multiple platforms to ensure you are getting the best value for your bet, as this can significantly impact your EV calculation.
Example: If you find that one sportsbook offers odds of 2.10 on Team A while another offers 2.00, placing your bet with the higher odds will increase your overall EV when the probability remains the same.
Managing your bankroll effectively is crucial for longterm success in sports betting. Set aside a specific amount of money you can afford to lose, and never deviate from your staking plan based on emotion or perceived trends.
Example: If you determine that a bet on Team A has a positive EV, it might be advisable to risk only 2% of your bankroll rather than a larger, riskier stake.
Keeping a detailed record of your betting history can help you evaluate your decisions over time. Tracking wins, losses, and the reasoning behind each bet allows you to identify patterns and adjust your strategies accordingly.
Example: By assessing your records, you may realize that your bets on underdogs offer a higher EV than favorites, leading you to adjust your betting focus.
Emotions can cloud judgment, leading to poor betting decisions. Stick to your calculated EV assessments and avoid chasing losses or betting on your favorite team simply because of loyalty. Remember that sports betting should be approached as a systematic process rather than a spontaneous decision.
Example: If your analysis shows that Team A has a negative EV despite your personal attachment, it’s wise to refrain from placing a bet on them just for emotional reasons.
Frequently Asked Questions
A negative EV indicates that, based on your estimates, the bet isn’t worth placing. It's essential to understand that betting should be based on logical assessments, and you should avoid making bets that statistically suggest a loss in the long run.
Improving accuracy involves extensive research, continual learning about the sports you bet on, and ideally using statistical models that reflect historical results, player stats, and situational factors impacting the outcome.
Yes, you can calculate EV during live betting. However, keep in mind that odds fluctuate rapidly, so you need to be quick and precise in your assessments to capitalize on favorable situations.
Cognitive biases such as overconfidence, loss aversion, and the gambler's fallacy can significantly influence betting behavior. Remaining rational and using an objective approach to EV calculations can help mitigate these psychological impacts.
Yes, incorporating variables such as injury reports, weather conditions, and team dynamics can enhance your probability assessments and improve the accuracy of your EV calculations.
Various sports betting software programs and apps can help you track your bets and calculate EV. Look for tools that allow you to input odds and probabilities easily. Some may also provide comparative data from several sportsbooks.
In summary, understanding how to calculate expected value in sports betting is a powerful method for evaluating the profitability of your wagers. By utilizing thorough research, employing disciplined betting strategies, and being aware of psychological factors, you can better position yourself for success in the competitive world of sports betting.