With two dice, each numbered 1-6, there are two possible ways to roll a 3: Thus, for the outcome of 3 (a particular macrostate) there are 2 microstates. How many possible ways are there to roll a 6?

Solution:

Given,

We are given that two dice are rolled.

There are two possible ways to roll 3; (1, 2) and(2, 1)

For the outcome of 3 (a particular macrostate) there are 2 microstates.

We have to find the entropy associated with an outcome of 6

Possible number of ways to roll 6 = (1, 5) (5, 1) (2, 4) (4, 2)(3, 3) = 5

Therefore, the possible number of ways to roll 6 = 5 ways.

With two dice, each numbered 1-6, there are two possible ways to roll a 3: Thus, for the outcome of 3 (a particular macrostate) there are 2 microstates. How many possible ways are there to roll a 6?

Summary:

With two dice, each numbered 1-6, there are two possible ways to roll a 3: Thus, for the outcome of 3 (a particular macrostate) there are 2 microstates. The possible ways to roll a 6 are 5.