## Value bet

#### Value bet

One of the most interesting things about betting is that nobody knows the true probability of the outcome of an event (other than a coin toss). Bookmakers set odds based on their assumptions and the state of the market. A value bettor will attempt to capitalise on the probabilities implied by odds they believe to be incorrect.

#### What is a value bet?

In order for you to find value a bettor needs to determine their own probability of an event occurring. In simple terms, if a bettor is able to identify events where the probability of the event occurring is higher than that implied by the bookmaker’s odds then they will win in the long run.

Bet offers value when:

probability of outcome > probability implied by odds

Example of a value bet

Let’s use the example of a fair coin toss. Ignoring the chance the coin lands on its side we know that the chance of a head is 50%. This implies fair odds of 2.00. Once the bookmaker adds their margin the odds could be (depending upon the bookmaker) around 1.91 implying a 52.4% chance of the toss resulting in heads.

We know that this bet offers poor value since we are receiving odds on a 50% likelihood as if there was a 52.4% chance of heads.

Now imagine there is some uncertainty about the percentage chance of heads. We have calculated that the chance of heads is 50% but the market is uncertain. The bookmaker is now offering odds of 2.2 on heads.

This now offers the opportunity to take a bet with 50% odds as if the event had only a 45.5% chance of occurring. This is a value bet.

So with our coin toss example the expected value calculation from a €10 stake is:

0.5 x €12 – 0.5 x €10 = +€1

For each €10 bet the expected return is €11 (a profit of €1).

For each coin flip we can expect to win €11 for every €10 staked. This would become very lucrative in the long run.

#### How to find value bets

Building a superior model is a good way to find value. If a model or inside information gives the bettor a clearer grasp of true probability than the bookmaker then profits are available. We generated our tips by a computational software that is being developed by different mathematical tools in the machine learning, like Random Forest, Conditional Inference Trees or Neural Networks.

#### The importance of the long run

When value betting it is important to bet for the long-term. Even with the clear edge on the coin toss at 2.2 odds there is still a 50% chance that the bettor loses. This occurs when a staking strategy becomes important as bankrolls can decimated by over staking, even on bets that offer value. In the long run this strategy pays off. After 100 coin flips staking €10 the bettor would expect to have €1100 from the €1000 wagered. In a similar way, if a sports bettor can find enough value bets they will win in the long run (https://www.pinnacle.com).