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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.
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 |
||
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 | ||
Crapspit.org | ||
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! | ||
Continued Fractions by R. Knott | ||
I've not read all of this, but at first glance it looks | ||
like it would be worth studying | ||
Perpetual Calendars by R. Knott | ||
What is the Herschel Perpetual Calendar ? | ||
( His More Links link seems to be broken ) | ||
Perpetual Calendars by Dr. Math | ||
Another version of the Reverend Zeller formula | ||
Math Atlas | ||
Links to many math topics ( e.g. Probability & Statistics ) | ||
at and beyond the college level | ||
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. | ||
To learn about the mathematics of craps,
click on the Craps link at Games of Chance [ Note: People using Internet Explorer will need MathPlayer, which is available for free at Download MathPlayer ] |
Top-of-Page | Part 1- Learn the Rules of Craps | Part 2 - Craps Math |