Can you play a fair game of craps with a loaded pair of dice?

نویسندگان

  • Ian Morrison
  • David Swinarski
چکیده

We study, in various special cases, total distributions on the product of a finite collection of finite probability spaces and, in particular, the question of when the probability distribution of each factor space is determined by the total

برای دانلود متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

ثبت نام

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

منابع مشابه

MATHEMATICAL MODELLING FOR DICE FINDER GAME PROBLEM

Play is often episodic and mission-centric, with a series of challenges culminating in a final puzzle or enemy that must be overcome. Multiple missions played with the same characters may be related to each other in a plot arc of escalating challenges. The exact tone, structure, pace and end (if any) vary from game to game depending on the needs and preferences of the players, as in [9]. "THE C...

متن کامل

When Can One Load a Set of Dice so that the Sum is Uniformly Distributed?

Introduction If you toss two fair six-sided dice, you will get a number between 2 and 12. Although each die is fair, the sum is not: the probability of getting a 2 is 1 36 , while the probability of a 7 is 16 . Thus the question arises: Can unfair (or loaded) dice lead to a fair sum? The answer is no, as was shown by Honsberger [4], using elementary methods. A proof using generating functions i...

متن کامل

Cyberdice (Transcript of Discussion)

The game itself is basically a very simple gambling game where you have people round the table with dice, and everyone has put some money on the table to play, the same amount for everybody. They've rolled the dice, and the one who gets the highest dice roll takes all the money that was on the table. (Imagine for the moment that nobody rolls the same value on the dice: you have dice with a very...

متن کامل

A World Record in Atlantic City and the Length of the Shooter’s Hand at Craps

I t was widely reported in the media that, on 23 May 2009, at the Borgata Hotel Casino & Spa in Atlantic City, Patricia DeMauro (spelled Demauro in some accounts), playing craps for only the second time, rolled the dice for four hours and 18 minutes, finally sevening out at the 154th roll. Initial estimates of the probability of a run at least this long (assuming fair dice and independent rolls...

متن کامل

Proceedings of the 2008 Winter Simulation Conference

The Monte Carlo and discrete-event simulation code associated with the Simulation 101 pre-conference workshop (offered at the 2006, 2007, and 2008 Winter Simulation Conferences) is available in both C and R. This paper begins with general instructions for downloading, compiling, and executing the software. This is followed by detailed explanations of two programs that are representative of the ...

متن کامل

ذخیره در منابع من


  با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید

برای دانلود متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

ثبت نام

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

عنوان ژورنال:

دوره   شماره 

صفحات  -

تاریخ انتشار 2013