Expected Value, Closing Line and Variance

Analytics dashboard displaying upward trend lines representing betting value and profit growth metrics

Key Takeaways

Even if you are completely new to the world of profitable sports betting we are sure you have heard of expected value, this is a crucial thing to grasp to become a professional and successful sports bettor. Expected value is a common concept used to determine the average outcome of a bet if it were to be placed repeatedly over a long period.

It helps bettors assess whether a particular bet is likely to be profitable or not in the long run. The expected value can be positive (indicating a potential profit) or negative (indicating a potential loss). Understanding and calculating expected value is crucial for making informed and strategic decisions in sports betting.

Expected value (EV)is fundamental in sports betting, indicating the average outcome of repeated bets. By calculating EV, bettors can identify bets that offer potential profitability over the long term.
CLV (Closing Line Value) measures the accuracy of predictions by comparing initial odds to closing odds just before a match begins. Beating the CLV consistently indicates profitable betting decisions aligned with sharp bookmaker predictions.
Variance represents the ups and downs in betting results over time. By adopting a long-term perspective and employing disciplined strategies such as staking plans, bettors can mitigate the impact of short-term losses and optimize their profitability.

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Understanding Expected Values

To understand why value betting works, when betting with sports betting software, you need to grasp the basics first. Let's talk about some key terminology surrounding the concept of expected value.

Value

Value is the percentage you see beside every value bet in RebelBetting. This is the value (also called edge, ROI or yield) of this particular odds right now compared to the "true odds". Note that a value might decrease or increase closer to match start, as the bookmakers converge closer to the true probability. This is called the closing line.

Positive Expected Value

Positive Expected Value (+EV) is a fundamental concept that assesses the potential profitability of an investment opportunity.

This concept is crucial for bettors aiming to make informed decisions based on mathematical expectations. By understanding the expected value formula, you can evaluate bets effectively. For example, in a sports betting context, analyzing probabilities and potential outcomes helps bettors identify +EV opportunities in a sea of varying odds. By consistently seeking bets with positive expected values over the long run, you can strategically manage risk and maximize returns in real-life betting scenarios.

Negative Expected Value

Another crucial concept to grasp to stay profitable in sports betting is Negative Expected Value (-EV), representing scenarios where the long-run average value of an investment is less than the initial stake. Calculated using the expected value formula, it involves determining the weighted average of all possible outcomes.

Understanding this concept helps bettors avoid high-risk bets with unfavourable outcomes, as it represents a mathematically calculated likelihood of loss over the long run. Later on, we will dive deeper into how to calculate the expected value and explain this further.

Simulate your betting results

Discover how RebelBetting's Profit Results Tool helps you visualize your betting success with detailed graphs and data analysis. This is a betting simulator tool that will help you understand how you can gain long-term profit from value betting. Track variance, expected value (EV), and profits across different datasets to optimize your betting strategy. Try the results simulator tool yourself here.

Closing Line Value (CLV)

Closing Line Value (CLV) is based on the sharp bookmaker's odds just before match start. We call this the true odds. This is proven to be the best predictor of the outcome of a match, with accuracy uncannily close to 100%.

We use CLV as the predictor of your expected value (EV). Both these terms can be used, and they mean the same thing in RebelBetting.

If you regularly bet on odds higher than the closing line, you will be profitable. This is called beating the closing line. Value betting customers beat the closing line over 80% of the time.

Note that even though the sharp bookmakers make extremely accurate predictions, this does not mean you will win every bet. You often bet on value bets with true odds over 2.0 (lower than a 50% chance of winning), and often the underdog wins. This means your actual profit will at times differ a lot from the profit predicted by the CLV. This is called variance.

Variance

Variance measures the difference between your profit and the CLV. Or how far a set of numbers are spread out from their average value.

Variance means you will experience both downswings and amazing profits when value betting. Here we explain variance and the importance of thinking long-term.

Profit and closing line value (CLV) — Profit (green) and the closing line value (CLV, in grey). CLV is your expected value, over time.

Profit, ROI and Yield

Profit, ROI and Yield measure your actual results, which depend on the outcome of the matches. Read more about the difference between ROI and Yield. In short, yield is the profit percentage per bet, or per euro staked. ROI (return on investment), is how much your bankroll has increased since the start.

Flat profit

Flat profit (or unit profit) is used when comparing users, betting systems or tipsters against each other, without taking bankroll size and betting strategy into account. It's the profit you would have achieved if you used a flat staking strategy (also called fixed staking). This means betting one "unit" (1% of your bankroll) at each bet. A unit is different for every user, it can be €10 or €100 – since it's a relative number you can easily compare the results.

Note that betting using the Kelly criterion (a proportional staking strategy) will improve your profits compared to flat staking.

To view your value betting profit and CLV, they are shown at the top of the BetTracker, and also in your detailed reports.

Tom

Value betting user, United Kingdom United Kingdom

It's taken me less than two months of value betting to make as much as I made from matched betting in a year. View the process as more of an investment than betting, think long-term. Trust the system and keep placing bets.

Read the full interview →

Emil

Value betting user, Finland Finland

The only thing you need is a computer and some patience. My starting capital was €2500, and so far I’ve earned +€11000, which is a lot considering it’s tax-free. Use one or two hours per day, and you can make some big profits.

Read the full interview here →

Sam

Value betting user, United Kingdom United Kingdom

I've been using RebelBetting for the past 9 months, and I've seen great results. It's incredibly useful for finding value bets, making it a great way to make extra money on the side. I highly recommend it to anyone looking to start their own side hustle!

Pinnacle

Bookmaker

As the only bookie to welcome arbitrage action and not limit winning players, we've been working successfully with RebelBetting since 2009. The positive feedback we get from players, is testament to just how good their product is.

James

Value betting user & community member, United Kingdom United Kingdom

RebelBetting is a trustworthy product, and they have a helpful community and customer support. Plus, you’ll probably make a lot more than what you pay in subscription fees – it’s a great investment!

Stefan

Value betting user, Sweden Sweden

The program works and is easy to use. I started with around €1600 and have a €1000 profit now after one month. I'll definitely reinvest my bankroll.

Read full interview →

Tuân

Value betting user, Vietnam Vietnam

I've been using this service for a few months now; starting with the Starter plan and then upgrading to the Pro. The rewards have been worth it – my ROI is over 500%, which is all the proof you need. You should definitely try it.

Rasim Reiz

Reizbet.com, Sweden Sweden

Value betting and Sure betting are two really interesting products tailored for those who want to take betting to the next level. You'll get loads of profitable bets and will learn a completely new approach to betting – a game changer!

Read the Swedish RebelBetting article →

Louis

The Arb Academy

RebelBetting has put together an outstanding arbitrage betting software package. It has a simple, uncluttered interface but is packed with all the necessities for serious arbitrage betting.

Read full review at the Arbacademy →

AzBookmakers

Azbookmaker review, Azbookmaker review Azbookmaker review

RebelBetting is surely the best arbitrage software. It is the fastest and most professional software that directly points out the "mistakes" of bookmakers or the so-called arbitrage bets.

Downswings are unavoidable, but temporary

Downswings can feel disheartening and unfair. But it's something you will have to handle, because they are unavoidable. But if you don't give up, you will also overcome them all.

So, how do you handle the psychological mind game of variance when betting? This video explains the risk strategy and teaches you how to cope with the rocky ride of variance. Do not underestimate the importance of long-term thinking to make a sustainable value betting profit.

Handle downswings

It's easy to get stuck focusing on the downswings. This is because we all suffer from loss aversion – the pain of losing is psychologically about twice as powerful as the pleasure of gaining.

Take note and celebrate of your upswings – your lucky winning streaks when you're clearly over expected value.
Understand why downswings happen. Let's take the coin toss example.

If you toss a coin 1500 times, there is a 52% chance you will get a streak of 10 heads in a row. This means if you place 1500 bets with an average true odds of 2.0 you have to expect 10 losses in a row. Or 10 wins. See this calculator.
But remember, this is with a 50/50 chance. With value betting you are always tossing a coin that is weighted in your favor, so your wins will outweigh your losses by around 4.5% per bet and euro staked.

You will overcome all downswings

If you're having a downswing, there's no need to panic. Your results will over time get closer to the expected value. This is because of two statistical tendencies: the law of large numbers and regression to the mean.

The law of large numbers

Explains that the average of the results obtained from a large number of trials should be close to the expected value, and will tend to become closer as more trials are performed.

This explains why your results tend to, over time, move closer and align with your expected value. Here are the real -life results of RebelBetting members value betting since 2020:

Of those placing 100 monthly bets or more, 79.7% are profitable
Of those placing 500 monthly bets or more, 90.0% are profitable
With 1000 monthly bets, expect 95% of months to be profitable

Regression to the mean

This is all about how data evens out. It basically states that if a variable is extreme the first time you measure it, it will be closer to the average the next time you measure it. Large downswings from the expected value (a losing streak) is an extreme outcome and will tend to revert back to EV.

So if you have an expected value of 3%, your actual results will, over time, even out to 3% yield (profit per dollar spent). Once again, have patience and think long-term.

Coin toss example

The probability of a coin to land on Heads is 50%. But assume you get the odds of 2.10 on Heads and bet €10.

If you win you profit €11
If you lose you lose €10

To calculate the expected value of the bet you can use this formula:
(profit per bet * probability of winning in decimals) – (loss per bet * probability of losing in decimals).
In this case: (€11 * 0.5) – (€10 * 0.5) = €0.5
Therefore you would expect to make an average profit of €0.5 (or 5%) for each €10 bet because the odds offered are better than the implied odds of the coin toss.

However, after only one toss you would have either lost €10 or earned €11, not won €0.5. So if you only place 1 bet, the variance will be huge.

Variance will be higher in the beginning

Variance is particularly high when the sample size is small, for instance at the start of your value betting career:

Imagine if we place value bets with 4% value, at odds 2.00 with 1% of our stake. If the first bet loses your ROI is -1% but your yield is a scary sounding -100% (because your first and total stake was lost). If you then place two more bets which win, your ROI is just +1% but your yield is a fantastic +33%. This high variance will continue for some time, usually for hundreds of bets, especially if you have a streak of bad or good luck.

Streaks are more common than you think

After placing 1000 bets at 5% value (with win probability 53%), there is still a 25% risk that you will get 10 losses in a row!

This might make a scary-looking downswing. As bad as that sounds, the upside more than makes up for it. The chance of getting 10 wins in a row with that edge is much more likely; 56% over 1000 bets!

The more bets you place, the variance will have far less effect and your results will over time move closer and align with your expected value. Note that we're not talking about a few hundred bets, it may require a couple of thousand bets. Read more about statistical significance in sports betting.

The importance of thinking long-term

It's important to see value betting as a long-term way to profit. The number of bets, as well as using a staking and max bet strategy, play an important role in reducing variance. Here are some tips on how to reduce variance when value betting.

Learn more on the value betting help page

Summary

In the world of sports betting, understanding expected value (EV), closing line value (CLV), and variance is essential for long-term profitability. Expected value calculates the average outcome of repeated bets, guiding bettors to identify profitable opportunities. CLV measures the accuracy of predictions against the closing odds, crucial for assessing betting value.

Meanwhile, variance acknowledges the inevitable ups and downs in betting results, emphasizing the importance of a long-term perspective and disciplined strategy. By mastering these concepts, bettors can navigate uncertainties and optimize their chances of sustainable success in sports betting

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