On poker math, whole books are written, so you can not say that it is needed for one thing, because this is one of the main foundations of poker. But there are two main aspects
1. Competent calculation of bank's chances
Let's start immediately with the analysis of the situation:
When playing 1 on 1, the size of the pot is $ 100, your opponent is betting at $ 50. How often do we need to call so that the action is not a minus one?
In this situation, your inner clue can give the wrong guess, and say that our hand here needs to have 50% equity. But this will be far from the truth, in fact, in order to play such situations in plus, we will have enough hands and with 26% to win the hand (if the hand will have 25% equity - we will play such a situation at zero on the distance).
In fact, the formula here is quite simple: we divide the opponent's bet in the big blinds by the number of big blinds in the pot, after the opponent's bet (TP) + the opponent's betting rate (AC), and multiply by 100%
As applied to our example (the big blind is $ 10):
Percentage in bank odds
If you find a phrase like: we need here equity 3k1, then do not be scared. In fact, these are the same calculations, but presented in a different form. This designation will be more close to those who know firsthand about bookmaker odds. That is, it means that we need to win once in three, so that the call was considered a plus, that is, we need at least 33.3% equity, as we said, everything is extremely simple!
2. Properly calculated bluff
But these are just the basics!
For a deeper analysis of distribution, you will not need a hefty share of time and patience. For example, if you need to calculate the optimal range for a specific situation, or optimal sizing for a bet on a value, or a bluff, and much, much more. This topic is not even on one book, not that article. And even those who play sky-high limits, although they have a huge knowledge base about poker mathematics, will not be able to understand all its subtleties.
But the task of this article was not to delve into the theory of probability, or to understand the basics of constructing ranges, but to acquaint you with the basics of poker mathematics. With these simple calculations, using them in the analysis of hands, and then during the session, you can significantly improve their results if you have not used them before. The most important thing is not to be afraid that it will be too difficult for you, and not to build yourself unnecessary obstacles in advance. Just start small, and along with understanding the game, you will get confidence in yourself and the results of your work, in the form of banknotes!