Online Craps Tutorial

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Online Craps : Odds of Winning Real Money?


Online Craps for real money is more fun after you learn about odds Vs. probability and how to convert from probability to odds or vice-versa,   then here is a simple formula for   converting odds to probability and probability to odds.

  The Craps tutorial is divided into two parts.
    Part 1 -- Rules -- how casino craps is played
    Part 2 -- Math -- finding the house edge and the odds for various bets


For part 2 the reader should have taken at least one high school algebra course and should know how to add fractions ( both with and without a calculator ). Some sections of part 2 require a familiarity with inequalities.


The author began writing this tutorial to help himself learn more about craps. He hopes that this tutorial will be useful to some math teachers, a few students, and a small segment of the general population.

Although the main topic is craps, there is a brief look at roulette and the lottery.
There is no discussion of games that require genuine skill, such as blackjack or poker.
( However,   the Other Topics section has links to help for some poker games. )

Craps is not an important game, but knowing something about it could enhance your understanding of a few more movies :

  "I'll take full odds on the ten, 200 on the hardway, the limit on all the numbers, [ and ] 250 on the eleven, thank you very much." -- James Bond   ( Diamonds Are Forever )


So far there has been no peer review of the material at this site, so mistakes are possible. Use any of this information at your own risk.  

Most people should not expect to earn money by playing craps or other casino games.
In the long run, you will lose more money than you win.   But if you do play, then do so for entertainment only; and,   never bet any money that you can't afford to lose.



Mathematics Reference Books
( These are old but useful books.   I'm not familiar with newer books that might be better. )

  An Introduction to the Theory of Numbers
    by Ivan Niven and Herbert Zuckerman
    © 1960 John Wiley & Sons, Inc.
    See chapter 7 for continued fractions and chapter 4 for bracket function
  Mathematical Statistics   2nd edition
    by John E. Freund
    © 1971 Prentice-Hall, Inc.
    Chapter 1 has good information about Permutations and Combinations
  Continued Fractions   ( paperback )
    by C. D. Olds
    © 1963 Yale University   ( A volume in the New Mathematical Library )
    Targeted to high school and college students but some tough reading
  An Introduction To Continued Fractions   ( paperback )
    by Charles G. Moore
    © 1964 The National Council of Teachers of Mathematics, Inc.
    Chapter 6 shows some practical applications, e.g. gear ratio problems
  Elementary Number Theory
    by J. V. Uspensky and M. A. Heaslet
    © 1930 McGraw-Hill Book Company, Inc.
    The appendix ( pages 206-211 ) has a proof of the Rev Zeller formula
for perpetual calendar calculations

Mathematics Reference Links

  All Casino Games -- The Wizard of Odds
    One of the best web sites for expert information on all the major casino games
  Math Topics   ( e.g. Craps )   by Dr. Math
    For   CRAPS   articles,   go to the site and type   CRAPS  in the   SEARCH THE ARCHIVE   box
  Continued Fractions    by Wikipedia
    Nice article from a free encyclopedia
    Covers many casino craps betting systems to help you win when playing craps online or offline. They also have a nice little craps flash game on the site!
  Perpetual Calendars    by Dr. Math
    Another version of the Reverend Zeller formula
  Virtual Laboratories in Probability And Statistics
    This page from the Math Department at the University of Alabama in Huntsville contains many lessons in Probability & Statistics and includes several java applets.


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