The Mathematics of Slots: Configurations, Combinations, Probabilities (Paperback)

Catalin Barboianu

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商品描述

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.

商品描述(中文翻譯)

這本作者關於賭博數學的第八本書以易懂的方式介紹了閃亮的老虎機背後的冷酷數學,無論是實體還是虛擬的。它包含了所有關於老虎機遊戲的配置、功能、結果和利潤的數學事實。因此,這不是一本所謂的如何贏錢的書,而是一本完整、嚴謹的老虎機玩家和遊戲製作人的數學指南,在這方面是獨一無二的。

由於它主要針對老虎機玩家,其目標是呈現老虎機遊戲數學模型的實際應用,以提供玩家可以用作遊戲決策標準或僅作為任何老虎機遊戲和任何預測中獎事件的信息的數值結果。這些結果主要集中在概率和期望值上,這些是老虎機決策標準中最重要的參數。這本書充滿了大量的圖表和公式。

內容組織得讓讀者可以跳過理論部分,直接選取所需情況的實際結果(數值上的,如果可能的話,以值表格或即可計算的公式)。實際結果集中在最後一章「實際應用和數值結果」中,這是本書最大的部分,涵蓋了最受歡迎的老虎機類別,包括3、5、9和16個轉輪。其他類別的老虎機遊戲則在書的理論部分中涵蓋,通用公式不僅適用於現有的老虎機遊戲,還適用於任何設計和配置的可能未來老虎機遊戲。

作者不僅僅是把老虎機數學丟給觀眾然後逃走,還在「如何估計轉輪上的停止數和符號分佈」一章中提供了一個終極實用的貢獻,這對玩家和製作人來說是一個驚喜,可以看到數學不僅提供了一些統計方法,還提供了基於物理測量的方法來獲取這些缺失的數據。有了這些數據以及本書的數學結果,任何人都可以生成任何老虎機的PAR表。

在過去的十年中,數學在遊戲中越來越受到重視,因為它是統治機會遊戲的本質,也是唯一提供有關最佳玩法的嚴謹工具,如果可能的話。對於受歡迎的老虎機遊戲,數學已經履行了它的職責,提供了所有它能提供的數據,這些數據無法在老虎機的顯示屏上找到-這本書中都有。