Описание: In the flop stage, what are your odds of achieving a straight by river and what are the odds of your opponents achieving something higher? If you will achieve the straight, what are the new odds of your opponents beating it in the river stage? How about the full house? How strong is your hand from mathematical point of view and how can you use this information in your play? This is the kind of questions that this book deals with. In improving poker skills, acquisition of information is vital, whether we talk about data a player collects during a specific game or pre-established mathematical facts behind the card distribution, including prediction. Texas Hold'em Poker is a game highly suitable for probability-based decisions. The power of a single card changing the hand hierarchies at every stage is a strong argument that every objective strategy should be probability based and so the card odds should be part of such a strategy. The book is a complete probability guide of Hold'em Poker, covering all possible gaming situations, an improved edition of the bestseller "Texas Hold'em Odds", published in 2004. In this edition, the author focused on the practical side of the presentation and use of the probabilities involved in Hold'em, while taking into account everywhere the subjective side of the probability-based criteria of each player's strategy. The first part of the book deals with the odds of specific card formations, from one pair to straight flush, at every stage of the game, grouped in three large categories: long-shot odds for own hand, long-shot odds for opponent's hands and immediate odds. These odds are collected in tables at the end of each section and, where generating two-dimensional tables was not possible, the compact formulas returning the odds are provided. All tables and formulas are followed by examples of how to use them for finding the desired odds in a specific gaming situation. All probability results were worked out through compact mathematical formulas and not by the use of any software based on partial simulations. The chapter "Operating with and Weighting the Odds" is the main new material added to the first edition and deals with the rules of estimating and evaluating the probabilities of complex gaming events in order to use them in a strategy, by using the odds provided in the first part of the book. When we are allowed to add together the partial probabilities of a union of events for an overall probability and when we are not, methods of approximation and tips of avoiding hard calculations, all have their dedicated subchapters, packed with suggestive examples of application on concrete hands. The author also introduces the concept of strength matrix of a hand, within the adequate mathematical model of the strength of a Hold'em hand, and argues why the strength of a hand should be defined through mathematical probabilities. At this point, he proves that what most of the so-called odds calculators return are not mathematical probabilities and cannot stand as objective strength indicators for Hold'em hands. The last chapter is a suggestive collection of probability-based hand analyses on concrete Hold'em hands that can be generalized to categories of hands having identical results associated. The author is a recognized authority on casino/gaming mathematics and his books are in the official bibliography of the students of several gambling institutes and organizations around the globe. This book is the most trusted and professional source for the mathematical facts of Hold'em Poker, a must-have completion for any strategy book.
Автор: Barboianu Catalin Название: The Mathematics of Lottery: Odds, Combinations, Systems ISBN: 9731991115 ISBN-13(EAN): 9789731991115 Издательство: Неизвестно Цена: 4000.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Автор: Barboianu Catalin Название: Mathematics of Slots ISBN: 9731991409 ISBN-13(EAN): 9789731991405 Издательство: Неизвестно Рейтинг: Цена: 6759.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: This eighth book of the author on gambling math presents in accessible terms the cold mathematics behind the sparkling slot machines, either physical or virtual. It contains all the mathematical facts grounding the configuration, functionality, outcome, and profits of the slot games. Therefore, it is not a so-called how-to-win book, but a complete, rigorous mathematical guide for the slot player and also for game producers, being unique in this respect. As it is primarily addressed to the slot player, its goal is to present practical applications of the mathematical models of slot games, in order to provide numerical results that a player can use as criteria for gaming decisions or just as information for any slot game and any predicted winning event. These results are focused on probability and expected value, these being the most important parameters for decisional criteria in slots. The book is packed with plenty of figures, tables, and formulas. The content is organized so that readers can skip the theoretical parts and go picking the practical results (numerical, in tables of values where possible, or ready-to-compute formulas) for the desired situation. The practical results are gathered in the last chapter, titled "Practical Applications and Numerical Results," the largest part of the book, for the most popular categories of slot machines, namely with 3, 5, 9, and 16 reels. Any other category of slot games is covered in the theoretical part of the book, where the general formulas apply not only to existing slot games, but also to possible future slot games of any design and configuration. The author does not just throw the slot mathematics to the audience and run away, but offers an ultimate practical contribution with the chapter "How to estimate the number of stops and the symbol distribution on a reel," a surprise for both players and producers, where one can see that mathematics provides players with some statistical methods as well as methods based on physical measurements for retrieving these missing data. Having these data along with the mathematical results of this book, anyone can generate the PAR sheet of any slot machine. In the last decade, mathematics has been taken more and more seriously into account in gaming, as being the essence that governs the games of chance and the only rigorous tool providing information on optimal play, where possible. For the popular game of slots, mathematics already fulfilled its duty by providing all the data that it can provide and that cannot be found on the display of the slot machines - it is all here in this book.
This is not a mathematics book, but a book about mathematics, which addresses both student and teacher, with a goal as practical as possible, namely to initiate and smooth the way toward the student's full understanding of the mathematics taught in school.
The customary procedural-formal approach to teaching mathematics has resulted in students' distorted vision of mathematics as a merely formal, instrumental, and calculatory discipline. Without the conceptual base of mathematics, students develop over time a "mathematical anxiety" and abandon any effort to understand mathematics, which becomes their "traditional enemy" in school. This work materializes the results of the inter- and trans-disciplinary research aimed toward the understanding of mathematics, which concluded that the fields with the potential to contribute to mathematics education in this respect, by unifying the procedural and conceptual approaches, are epistemology and philosophy of mathematics and science, as well as fundamentals and history of mathematics. These results argue that students' fear of mathematics can be annulled through a conceptual approach, and a student with a good conceptual understanding will be a better problem solver.
The author has identified those zones and concepts from the above disciplines that can be adapted and processed for familiarizing the student with this type of knowledge, which should accompany the traditional content of school mathematics. The work was organized so as to create for the reader a unificatory image of the complex nature of mathematics, as well as a conceptual perspective ultimately necessary to the holistic understanding of school mathematics. The author talks about mathematics to convince readers that to understand mathematics means first to understand it as a whole, but also as part of a whole.
The nature of mathematics, its primary concepts (like numbers and sets), its structures, language, methods, roles, and applicability, are all presented in their essential content, and the explanation of non-mathematical concepts is done in an accessible language and with many relevant examples.
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