Balancing hand ranges and poker combinatorics

ovsleka

ovsleka

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Poker combinatorics is a fascinating branch of mathematics that helps determine the ranges of hands opponents by counting the combinations that are possible in different scenarios. . For example, you know that the opponent bets all-in before the flop only with hands A-K, A-A and K-K. the Assumption that ⅔ of those cases when the opponent goes all in, his hand is A-A or K-K, is a common mistake. The feeling that the opponent is above you a significant advantage, can unsettle. Sometimes it seems that whatever you do at the poker table, he's always a step ahead. Your first reaction may be a desire to drastically change their style of play to "beat" the opponent, but this would be not so easy. Poker combinatorics is a very useful tool for analyzing hands and launch the most accurate of assumptions. In poker, there are 1,326 unique combinations at the start of each hand. Proceeding from this starting point, in the course of distribution, we can gradually narrow the ranges of hands opponents and plan their next steps. Given that there are 1,326 unique starting hands and the player is comfortable to play on stack with only hands JJ-AA and AKs/AKo (40 combinations), the reason for the imbalance is easy to see. When this aggressive player has position, it will probably be to isolate a weak Limper with about 40% of his hands (530 unique combinations). If he will do additional 4-bet only 40 combinations, it can be exploited. In practice, if you encounter an aggressive 3-bettor, you have to expand your range for additional 4-beta, increase the frequency of 4-bets as a bluff (ideally with blocking cards) and a few more to call 3-bets from your opponent (depending on how often he does 3-bet). Sometimes you find a player who does not want to depart from the usual strategy game will remain faithful to his plan for "disciplined" fold. This is my favorite rivals, and I rarely, if ever, allow them to take the banks in situations of one-on-one. Against these players, most of your river bets — oddly enough! — must be a bluff. Look out for players of this type — they can become your goldmine if you approach it the right to exploit them. Another advantage of such players is that the other tags at the table, usually don't make the necessary amendments to their strategy and will often overestimate their over pair on the river. But if a weak player to fold a high pair after the huge bet on the river, you should not overestimate your own top pair! Many tags make the mistake of assuming that the enemy will do the calling with a weaker pair and then wonder when the "fish" calls and opens the at least two pairs.
 
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