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What Does Mathematics Have to Do With Playing Poker?

What Does Mathematics Have to Do With Playing Poker?
Poker is a game of chance, probability, and nerve. Then, of course, you cannot leave out the other players involved, as that is a huge part of the game. As with any sport, game or activity, different people have their own mini-theories, beliefs and superstitions to help them in pursuit of winning ways. The analytically minded might like to have something of a closer look at one of these factors, in particular, chance.
Chance - also known as probability - is important, as there are a number of probable outcomes that can occur in any given situation or hand. Therefore, players combining a little experience, nerve and an understanding of how the mathematics involved actually work can give themselves an edge on the competition and lend a bit of flint to that poker face also.
As stated, poker is principally a game of probabilities. So, does this mean that by informing yourself of all available probabilities at any given time that you can ensure victory in any game? The answer is that the sheer number of possibilities involved at any given time makes this impossible. Experienced poker players are simply aware of the indicators at play; they know how to read them and how to act as a result.
The first factor that mathematically minded poker players might take into account is expected value, which is a relatively small, yet fundamental, aspect of poker theory that makes the job of interpreting the myriad of possibilities at play that much easier (or as easy as it can ever be).
Understanding this kind of fundamental concept can help all poker players - from the neophyte to the grizzled veteran - to maximize winnings and minimize losses. Expected value consists of two values: expected winnings and expected losses. In addition, it is these two factors that take the probabilities into account.
Other factors where mathematics come into play are pot odds and hand odds. In fact, these two factors are often combined by 'poker mathematicians' due to the fact that most of the decisions a poker player will make during the course of any game will be to weigh their hand odds (the odds of making or getting the best possible hand) against their pot odds (the amount of money in the pot compared to how much it will cost the player to contest the pot). This is perhaps the most crucial measurement for any player, as any decision a player makes at the table will either be mathematically correct or incorrect based on the relation between their hand odds and pot odds.
Therefore, every time a player makes a mistake based upon this, they are giving their opponents a statistical edge in the game and vice-versa. Ultimate success or failure in the game depends largely on how many of these edges a player takes compared to how many he or she gives away.
Mathematics is also involved in money management during the game itself, specifically in terms of managing the bankroll. An understanding of related poker bankroll concepts, such as the minimum level a player needs to maintain for differing levels of stakes will certainly help aspiring players looking to make playing poker - and winning money from doing so - a long-term endeavor.