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# MATHEMATICAL EXPECTATION AND DISPERSION IN BETS

Above, we have already defined the terms expectation and variance…

Now it's time to look at them in practice.

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For ease of understanding, again, let's take our coin example. We have already written that the probability of getting heads and tails is 50% each, but in practice one of the sides can come up many times in a row.

So, many bettors believe that every losing bet on an event with a 50% probability of passing only increases the likelihood of winning the next time (**22 bet app** to read more). That is why the Martingale strategy is so popular among many, it is also catch-up. It assumes the following: with each subsequent bet, the player doubles the amount of the previous one in order to win back and make a profit. But here you need to understand that in most cases such a strategy leads to a loss in the distance just because of the variance.

If you rely only on the mathematical expectation, then after a loss there should come a win, but this does not happen, and the deviation from the mathematical expectation is especially noticeable at a short distance. For example, if a player makes 10 bets, he can easily lose 7 of them. After 50 bets, he can already have 22 wins and 28 losses, and after 100 - 46 wins and 54 losses. Of course, it can also be the other way around, here it is already a matter of chance.

As you can see, the result evens out over the course, but 100 bets is too short a distance for evaluating the results like here **22 bet apk **. You need to look at 1000 and the balance turns out to be even at best, and often negative because of the margin. So how do you beat the bookmaker? - Now we will tell you.

Read more in Wikipedia: **Probability Theory**