images5Most people do not speculate on the basis of the theory of probability. Everyone thinks so: get, do not get, get, does not, it may or may not turn out. But in everyday life, to make important decisions, and even more so to play online poker requires a different kind thoughts. Should be more subtle distinction. If the player has 30%-s probability of winning, you need collie Bet, and if the probability is 20%, there is already required fold.

online poker and probability theory

People playing online poker, you need to learn just as important to quickly assess the likelihood, mastering this skill. Good online poker players should know two of science – the theory of probability and basic arithmetic. So pre-flop. We start with the calculations. In poker possible 1326 combinations of pocket cards. The first card – one of 52, respectively, the second will be one of 51 and so on. The sequence of cards is not so important, so 52 * 51 / 2 = 1326. Each defined pair of cards can be handed over 6 ways – 4 * 3 / 2. For example, consider a pair of aces, it turns out that they will be coming online poker players every 221 change, based on the formula 6 / 1326 = 1:221, and a pair of any other cards based on the formula 221/13 = 17 (total 13 pairs ), every 17 surrender. But conceived two unpaired cards can give up 16 ways (12 variegated and 4 of the same suit). What is the probability of getting suited cards? This must be calculated – 12/51 = 23.5%. A chance to get two cards of a particular color will be less than 4 times and will make 5,9%. To calculate the probability of joining one of the opponents of a particular card, you must use the formula 1-C (2n, 48) / C (2n, 52). Here n denotes the number of players, and C (x, y) = y! / X! / (Yx)! – The number of combinations of x by y.

online poker – the probability

In order to determine the likelihood that your opponent is a certain card after bets, such as an ace or top pair, we must assume that from an early position opponent will raise with AA, KK, QQ, JJ, AK, AQ, AJs. Aces in the combinations of AA – 6 variants, the AK and AQ – to 16 options, AJs – 4 variants, the high cards in pairs without aces – KK, QQ, JJ – to 6 options. A total of 60 versions. Now you can calculate the formula (6 +16 * 2 +4) / 60 = 70% – the probability of an ace, 6 * 4 / 60 = 40% – the probability of the higher pair. The flop turns three cards of five overall. That is a big part of the game in online poker is over. If either the player has no pairs, we can calculate the probability of improvement. Get a pair – 26.94% (card on the flop coincides with one of the player’s card), get two pairs – 2,02% (one pair on the table and a third card table coincided with the player’s cards), get two pairs, if the table two maps, each of which coincides with the player’s cards – 2,02%, to obtain FOOL – 0,09%, to get four of a kind – 0,01%, to obtain thrips – 1,35% (one pair on the flop coincides with the player’s hole cards).
If a player’s hole cards in online poker suited, then the probability would be: get a flash – 0,84%, to obtain a flush draw – 10,94%.
If the player’s pocket pair, then the likelihood of improvement would be: get set – 10,77%, to obtain FOOL – 0.74% (one pair on the table and a map to the player’s pocket pair), get two pairs – 16.16% (couples pocket and on the table), get four of a kind – 0,25%, to obtain FOOL (troika on the virtual desktop) – 0,25%.
If a player in the online poker unsuited pocket cards, the probability of getting a flush draw will be 2,25%.
Probabilities collect certain combinations on the river, to the end of the game is very important and interesting. Methods of calculating the same as when calculating the flop. It is only necessary to add two more cards in making all the necessary calculations.
For online poker players are often difficult to quickly make the necessary calculations and calculations. For these purposes, there are special programs that allow you to calculate the probability of a few seconds, to analyze and calculate the various options, combinations of the enemy.


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