# Law of large numbers gambling

## Quote by Leonard Mlodinow: “Another mistaken notion connected with the law ...”

## Law of large numbers - Probability and Statistics - Khan Academy

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This site uses cookies to give you a better experience, analyze site traffic, and gain insight to products or offers that may interest you. By continuing, you consent to the use of cookies. Learn how we use cookies, how they work, and how to set your browser preferences by reading our Cookies Policy. A good friend of mine got a job because of how she answered a question on this topic. The probability of getting 10 in a row is so low, that there must be something up with the coin. The probability of a fair coin getting 10 heads in a row is 0.

## I want to improve my betting

If you've read our article on value betting , you've learned how edges occur in sports betting, and that good bets are characterized by a positive expected value. The question remains how to transform your edge into what is our ultimate goal: Long term profits. To see how this looks, we can plot the different outcomes and their corresponding probability:. The chart shows the two only possible outcomes after the first trial, and that both outcomes are equally likely. Strictly speaking, that is a risky investment. As illustrated, only one of the outcomes results in negative profits.

The theory of probability becomes of enhanced value to gamblers when it is used with the law of large numbers. The law of large numbers states that:. This is, of course, what in everyday language is known as the law of averages. The overlooking of the vital words 'in proportion' in the above definition leads to much misunderstanding among gamblers. Thus if a coin has been spun times, and has landed 60 times head uppermost and 40 times tails, many gamblers will state that tails are now due for a run to get even. There are fancy names for this belief.

Despite the fact that success in online sports betting is not only attributed to luck and pure statistical probability, it is understandable that similar to everything else in the universe, betting is also governed by the laws of physics. Before you decide to shun this statement as pure hogwash, we need to travel back to 17th century Switzerland and see if one of the most controversial theorems in gambling, the law of large numbers , is indeed applicable to sports betting. There's no reason to dwell upon physics or math here, nor do you have to be a science expert to understand everything. The LLN is part of the probability theory and examines the result of carrying out the same experiment over a large number of repetitions. The more times you repeat an action, the closer its results should appear to the expected value. Imagine tossing a coin. In a time experiment the result might even be 10 consecutive heads with no tails at all.

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