Consider a system of two rolled dice, each having six possible states available to it (six different numbers of dots showing upward). According to classical statistics, how many different arrangements are available to this system (a) if the dice are distinguishable, and if the dice are identical. (b) According to classical statistics, in what fraction of the total number of different configurations do the two dice show the same number of dots? (c) What is the true number of distinguishable configurations available to two identical dice? (d) For what fraction of the distinguishable configurations in (a) do the two dice show the same number of dots?
Consider a system of two rolled dice, each having six possible states available to it (six different numbers of dots showing upward). According to classical statistics, how many different arrangements are available to this system (a) if the dice are distinguishable, and if the dice are identical. (b) According to classical statistics, in what fraction of the total number of different configurations do the two dice show the same number of dots? (c) What is the true number of distinguishable configurations available to two identical dice? (d) For what fraction of the distinguishable configurations in (a) do the two dice show the same number of dots?
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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Consider a system of two rolled dice, each having six possible states available to it (six different numbers of dots showing upward). According to classical statistics, how many different arrangements are available to this system
(a) if the dice are distinguishable, and if the dice are identical.
(b) According to classical statistics, in what fraction of the total number of different configurations do the two dice show the same number of dots?
(c) What is the true number of distinguishable configurations available to two identical dice?
(d) For what fraction of the distinguishable configurations in (a) do the two dice show the same number of dots?
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