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Expected Value (EV) Calculator
Calculate the expected value of your bets. Identify positive EV opportunities and make profitable betting decisions based on mathematical advantage.
This is your assessment of the actual likelihood of this outcome happening
Why Expected Value Matters
Expected Value is probably the single most important concept in sports betting, but a lot of people skip right past it. They focus on win rates or units won, which are fine metrics, but EV tells you whether you're actually making smart bets or just getting lucky.
Here's the core idea: EV is what you can expect to win (or lose) on average if you made the same bet thousands of times. A single bet might win or lose, but over the long haul, positive EV bets make money and negative EV bets lose money. It's that simple.
The tricky part isn't the math—it's honestly pretty basic. The hard part is accurately estimating the true probability of outcomes. That's where your edge comes from. If you're better at assessing probabilities than the bookmaker's odds suggest, you can find positive EV bets all day long.
The Formula Explained
The EV formula looks intimidating at first, but break it down and it makes total sense:
EV = (Probability of Winning × Amount Won) - (Probability of Losing × Amount Lost)
Let's say you're betting $100 on a team at +150 odds. You think they have a 50% chance of winning (that's your assessment, not the bookmaker's). If they win, you profit $150. If they lose, you lose $100.
Plug it in: (0.50 × $150) - (0.50 × $100) = $75 - $50 = $25
That's a positive $25 expected value. Over the long run, if you could make this exact bet 100 times, you'd expect to be up $2,500. Will you win exactly 50 times? Probably not. But the math says this is a profitable bet.
The Difference Between EV and Reality
Here's what trips people up: you can make a perfect +EV bet and lose. You can even make ten perfect +EV bets and lose all ten. Short-term variance is brutal, and it's why bankroll management matters so much.
Think about a coin flip where you get $1.10 for heads but only lose $1 for tails. Massive positive EV—you should take that bet every time. But you could still easily lose five flips in a row and be down $5. The bet was still correct. You just need a big enough sample size (and bankroll) to survive the variance.
This is why professional bettors track thousands of bets and look at their performance over months or years, not days or weeks. A few losing streaks don't mean anything if your EV is solid. But if you're betting negative EV, even a winning streak is just borrowed time.
How to Find Positive EV Bets
Finding +EV bets comes down to one thing: having a more accurate assessment of probability than the market. There are a few ways to do this:
Specialization: Pick a niche—maybe a specific league, team, or bet type—and become an expert. The more you know about something, the better your probability estimates will be compared to a bookmaker covering hundreds of sports.
Line shopping: Different books have different odds. If your model says a team has a 55% chance of winning, finding +105 odds instead of -110 can turn a marginal bet into clear +EV. This compounds over time.
Timing: Lines move based on betting action, injuries, weather, etc. Sometimes you can catch a line before it moves if you're quick. Early week NFL lines or overnight market movements can create temporary inefficiencies.
Using better data: If you have access to advanced metrics, player tracking data, or better injury information than the general public, you can spot edges. This is why some sharp bettors pay for premium data services.
Common EV Mistakes
Overestimating your edge: It's really easy to convince yourself that your probability assessment is correct when it's actually just wishful thinking. Be brutally honest. If you don't have a legitimate reason to differ from the market, you probably don't have an edge.
Ignoring variance: Even with perfect +EV bets, you need a bankroll big enough to weather losing streaks. Betting too much of your roll on individual bets, even +EV ones, can lead to ruin. This is where Kelly Criterion comes in.
Chasing closing line value: CLV (getting better odds than where the line closes) is often cited as proof of +EV betting. It's a good indicator, but it's not the same thing as EV. A line can move for reasons other than sharp action.
Not tracking your bets: You can't know if you're actually finding +EV spots without rigorous record keeping. Track every bet, the odds, your probability assessment, and the outcome. Over hundreds of bets, patterns emerge.
How to Use This Calculator
- 1Enter the odds you're getting from the bookmaker
- 2Enter your estimated true probability of the outcome (your assessment)
- 3Enter your stake amount
- 4View the calculated expected value and expected profit/loss
Frequently Asked Questions
Q:What is Expected Value (EV)?
Expected Value is the average amount you can expect to win or lose per bet in the long run. Positive EV means the bet is profitable over time, while negative EV means you'll lose money long-term.
Q:How do you calculate EV?
EV = (Probability of Winning × Amount Won per Bet) - (Probability of Losing × Amount Lost per Bet). A positive result indicates a profitable bet.
Q:What's a good EV percentage?
Any positive EV is theoretically profitable. Most professional bettors look for opportunities with at least 5% EV to account for variance and potential errors in probability estimation.
Q:Why is EV important in betting?
EV helps you identify value bets where your assessment of probability is better than the bookmaker's odds suggest. Consistently betting positive EV leads to long-term profit.
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