Answer to Question #281836 in Mechanical Engineering for john luvis

Question

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,

(b) if the dice are identical.

(c) According to classical statistics, in what fraction of the total number of

different configurations do the two dice show the same number of dots?

(d) What is the true number of distinguishable configurations available to

two identical dice?

(e) For what fraction of the distinguishable configurations in (a) do the two

dice show the same number of dots?

Answer 1

Tables with answer is given below: