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Suppose you flip 50 fair coins.(a) How many possible

An Introduction to Thermal Physics | 1st Edition | ISBN: 9780201380279 | Authors: Daniel V. Schroeder ISBN: 9780201380279 40

Solution for problem 3P Chapter 2

An Introduction to Thermal Physics | 1st Edition

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An Introduction to Thermal Physics | 1st Edition | ISBN: 9780201380279 | Authors: Daniel V. Schroeder

An Introduction to Thermal Physics | 1st Edition

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Problem 3P

Suppose you flip 50 fair coins.

(a) How many possible outcomes (microstates) are there?

(b) How many ways are there of getting exactly 25 heads and 25 tails?

(c) What is the probability of getting exactly 25 heads and 25 tails?

(d)        What is the probability of getting exactly 30 heads and 20 tails?

(e) What is the probability of getting exactly 40 heads and 10 tails?

(f) What is the probability of getting 50 heads and no tails?

(g) Plot a graph of the probability of getting n heads, as a function of n.

Step-by-Step Solution:
Step 1 of 3

Solution 3P

Now suppose we flip 20 coins.

The number of possible outcomes( microstates) is given by

The number of microstates and probabilities of a few macro states are as follows

            no of heads

       no of micro states

             probability

                 25

            1.264

              0.112

                 30

            4.713

             0.042

                40

             1.027

            9.1

                50

                   1

           8.8

A graph of the probability of getting n heads, as a function of n is as shown below

Step 2 of 3

Chapter 2, Problem 3P is Solved
Step 3 of 3

Textbook: An Introduction to Thermal Physics
Edition: 1
Author: Daniel V. Schroeder
ISBN: 9780201380279

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Suppose you flip 50 fair coins.(a) How many possible