EXPECTED VALUE CALCULATOR

1. What is Expected Value in Betting?

Expected value (EV) estimates the average amount you would expect to win or lose if you placed the same type of bet repeatedly over time.

A positive expected value (+EV) bet means the potential return is greater than the risk based on your estimated true probability of winning. A negative EV (-EV) bet suggests the sportsbook price does not offer enough value for the risk.

Positive EV does not mean an individual bet will win. It is a long-term mathematical measure used to compare the odds being offered with the probability you believe an outcome has of occurring.

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What Our Experts Say

"Expected value isn’t about predicting the outcome of a single bet - it’s about stacking probabilities in your favor over time. Understanding this concept is one of the first steps to transitioning from casual betting to a sharper, more strategic approach."

- Chris Allen, Sports & Matched Betting Expert at ProfitDuel

2. Expected Value Betting Example

Let's use an example using a random variable. You're going to place $100 on a coin toss. The probability of hitting both heads and tails is 50%. Your EV would be $0 as there's an equal probability you will both win and lose. The true odds would be +100 for both sides.

Now let's say a sportsbook offers you odds of +110 for the coin to land on heads. You know the true probability of the coin landing on heads is 50% (+100+), but the sportsbook has undervalued the odds, leaving an opportunity for you to profit.

If you bet $100 on heads to land with these new odds, statistically, the expectation is that you will profit $5. This is your expected value. Make 100 bets over a period of time with this EV, and your expected value over this period would be $500.

This concept of finding small opportunities in sportsbook odds and taking advantage of them in the long term is the basic idea behind EV betting. Now let's look at how we would calculate EV in real-life sports betting scenarios using the expected value calculator.

Why this matters: A +EV result does not guarantee that this particular bet will win. It means the odds are favourable relative to the probability you entered, so repeating similar +EV opportunities may provide an edge over a large number of bets. 

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What The Data Says

"According to a 2024 NerdWallet survey, 65% of sports bettors say they bet to make extra money but only 40% actually report net gains."

- NerdWallet

3. What is an Expected Value Calculator?

An expected value calculator is a tool that calculates the average amount a bettor can expect to win or lose on a bet over time. It uses the true win probability, sportsbook odds, and stake to determine if a bet has positive or negative expected value.

• Positive EV means the bet is statistically profitable in the long run.
• Negative EV suggests long-term losses if repeated.
• True win probability should be based on fair (no-vig) odds.
• Input formats typically include decimal or American odds.
• Helps bettors make data-driven, long-term profitable decisions.

By allowing bettors to rapidly identify potentially profitable bets, an expected value calculator helps bettors avoid short-term losses from overpriced odds, and plan for long-term profitability by mapping out future +EV bets.

This longer term focus separates EV betting from more typically short-term betting activities like parlay betting and round robin parlay betting.

Understanding Your EV Result

4. How to Use an Expected Value Calculator

To calculate the expected value of a bet using an expected value calculator, follow these four simple steps:

1. Enter Wager: This is the amount you plan to wager on the event.
   
   
2. Enter Odds: This relates to the odds of your intended selection. Choose from American odds or decimal odds, depending on which format your sportsbook uses.
   
   
3. Enter Win Probability: This is the true probability of your selection winning. It can be calculated using a no-vig calculator, which removes the sportsbook's profit margins to provide a true win percentage.
   
   
4. View Expected Value: The calculator will automatically calculate the expected value of this bet. If it's a positive figure, this is a +EV bet, if a negative figure, a -EV bet.
   
   

EV Calculator Input Cheat Sheet

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What Our Experts Say

"Many bettors rely on instinct, but using an EV calculator helps strip emotion out of the process. When you bet based on true win probabilities, you’re not guessing, you’re making informed, data-driven decisions designed to profit long-term."

- Casey Halpern, Sports Betting Expert at ProfitDuel

Tip: Don't get the true win probability mixed up with the implied probability. The implied probability is the probability assigned by the sportsbooks that is purposely inflated to ensure a profit margin (found using an implied probability calculator).

5. Expected Value Formula for Betting

The standard expected value formula is:

EV = (Probability of Winning × Profit if You Win) − (Probability of Losing × Amount Lost)

For example, if a $100 bet has a 50% true probability of winning and pays $110 profit:

EV = (0.50 × $110) − (0.50 × $100)

EV = $5

This means the theoretical expected value of the bet is +$5 per $100 wagered over a sufficiently large number of similar bets.

How to Calculate Expected Value Using a Formula

It's worth knowing that our EV calculator does all of this for you automatically, so there's no real need to know this. However, for the betting nerds among us, it can make for interesting reading.

An expected value calculator works by using a mathematical formula to estimate the likelihood of a bet resulting in a profit or a loss, and by how much, with each bet viewed as a random variable in the calculation.

Whilst you can use different calculations to analyze EV over time (such as standard deviation and probability distribution), calculating expected value involves a pretty simple formula.

You can calculate expected value using the following formula: (winning probability) x (profit if win) - (losing probability) x (stake). In this formula, 'winning probability' and ‘losing probability’ mean the true probabilities of either outcome of the event, which can be calculated using a no-vig 'fair odds' calculator.

6. How Do You Find the True Win Probability?

The most important input in an EV calculation is the true win probability. The calculator cannot determine this automatically — it depends on the probability you enter.

One common approach is to use no-vig odds, which remove the sportsbook's built-in margin from market prices to estimate fair probability.

You can use ProfitDuel's No-Vig Calculator to estimate fair odds, or compare prices across multiple sportsbooks and betting markets.

Remember that any EV result is only as reliable as the probability used in the calculation.

7. 6 Tips to Increase Profits EV Betting

By now you'll know how expected value works in sports betting and how to use an EV calculator. But if you're keen to put your EV betting knowledge into practice, use these five tips to maximize your potential earnings:

1. Manage Your Bankroll: Managing your bankroll (the total cash you wish to place across all bets at any one time) is crucial to smart EV betting. Don't blow your entire budget on one event. Start small and gradually build your bankroll as your profits accumulate.
   
   
2. Line Shop: Line shopping involves checking multiple sportsbooks to ensure you're getting the best odds for an event. Line shopping and monitoring line movement (changes in odds) before wagering gives you the best chance of finding +EV opportunities.
   
   
3. Diversify Your Markets: Place bets in a combination of leagues, sports and even nations. This can help you spread risk and identify less popular markets that sportsbooks pay less attention to (and therefore tend to offer more profitable EV bets on ).
   
   
4. Use Additional Calculators: Using an EV calculator is a game-changer. But combining this with tools like a no-vig calculator (to calculate win probabilities), a hold calculator (to work out sportsbook profit margins), a kelly calculator (to help you find the optimal stake) and a poisson distribution calculator (to help you perfect prop bets) can help refine your EV betting process further.
   
   
   
   
5. Track Your Profits: EV betting is about long-term profits rather than short-term wins. Track your profits (and losses) accurately to analyze your long-term performance and improve your strategy. For accurate tracking and minimum effort, use a dedicated Profit Tracker.
   
   
6. Combine With Other Betting Methods: EV betting can prove profitable in the long term, but consider using other betting methods to boost your short-term earnings too. Methods like matched betting (turning free bet promos into cash) and arbitrage betting (betting on every outcome of an event) can help you make the most of every sports betting opportunity.

8. What we do at ProfitDuel

At ProfitDuel we specialize in helping our members (who range from total beginners to experienced bettors) gain an edge over sportsbooks using our software, strategies and support focusing on achieving profitable outcomes.

We help members turn sportsbook promo offers (such as bonus bets, no sweat bets and deposit-matched offers) into withdrawable profit via the matched betting process.

Matched Betting Process (Simplified)

Using state-of-the-art software like the Dutch Matcher, a library of walkthrough videos/guides and one-to-one support from our experts whenever they need it, our top members bank as much as $1000 a month with the help of our tools.

And you can join them today.

Start your ProfitDuel journey with your ProfitDuel trial and we'll walk you through how to get started, no strings attached, at a time and place that suits you. You won't believe how easy it is!

What is ProfitDuel?

ProfitDuel’s free betting calculators make it easy to execute strategies like matched betting, arbitrage, and EV betting with precision. By simplifying complex calculations into instant results, our tools help you make fast, confident, profit-driven decisions every time you place a bet.

Trusted by over 500,000 users across the USA and UK, ProfitDuel is the smart betting toolkit built to help you maximize profit and minimize risk, equipping our members with real-time data, cutting-edge tools and expert support.

Centred around proven techniques like matched betting, arbitrage betting, and value betting (EV betting), our betting calculators, betting tools and live market data make it easy to spot hidden edges and turn them into profit. From converting sportsbook promos and casino bonuses into cash to maximizing your long-term winnings with EV software, we’ve got you covered.

Whether you’re an experienced bettor sharpening your edge or a beginner looking for a profitable side hustle, ProfitDuel gives you the software, systems and expert support to boost your monthly earnings with confidence. Because the smartest way to bet isn’t gambling — it’s strategy.

FAQs on the Expected Value Calculator

What is a good EV percentage in sports betting?
A positive EV percentage means the potential return exceeds the expected risk based on the probability entered. Higher positive EV indicates a larger theoretical edge, but the result is only reliable if your estimate of true probability is accurate.

What does +EV mean in betting?
+EV means positive expected value. It indicates that the sportsbook odds may offer a better payout than the estimated true probability of the outcome would suggest.

Does positive EV guarantee a winning bet?
No. A positive EV bet can still lose. Expected value measures the theoretical average result over many similar bets rather than predicting the outcome of one wager.

How do I calculate true probability for EV betting?
You can estimate true probability using fair or no-vig sportsbook odds, statistical models or other reliable market data.

What is the difference between EV and implied probability?
Implied probability is the probability represented by sportsbook odds. Expected value compares those odds with your estimated true probability to determine whether the price may offer value.

Can I calculate EV using American odds?
Yes. ProfitDuel's EV calculator supports sportsbook odds and automatically uses them when calculating the expected value of your wager.