Suppose you flip 20 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 2P Chapter 2

An Introduction to Thermal Physics | 1st Edition

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Problem 2P

Suppose you flip 20 fair coins.

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

(b) What is the probability of getting the sequence HTHHTTTHTHHHTHHHHTHT (in exactly that order)?

Step-by-Step Solution:

Solution

Step 1 of 5

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

If we have n number of coins with each coil having possibility of making head or tail. The total number of microstates is given by = ${2}^{n}$ states

Therefore, for n= 20 coins the number of microstates will be,

Number of microstates = ${2}^{20}$

${2}^{20}=1048576$ microstates

Step 2 of 5

Chapter 2, Problem 2P is Solved

Step 3 of 5

Textbook: An Introduction to Thermal Physics

Edition: 1

Author: Daniel V. Schroeder

ISBN: 9780201380279

This full solution covers the following key subjects: hthhttththhhthhhhtht, Probability, order, getting, any. This expansive textbook survival guide covers 10 chapters, and 454 solutions. This textbook survival guide was created for the textbook: An Introduction to Thermal Physics , edition: 1. An Introduction to Thermal Physics was written by and is associated to the ISBN: 9780201380279. Since the solution to 2P from 2 chapter was answered, more than 1664 students have viewed the full step-by-step answer. The full step-by-step solution to problem: 2P from chapter: 2 was answered by , our top Physics solution expert on 07/05/17, 04:29AM. The answer to “Suppose you flip 20 fair coins.(a) How many possible outcomes (microstates) are there?________________(b) What is the probability of getting the sequence HTHHTTTHTHHHTHHHHTHT (in exactly that order)?________________(c) What is the probability of getting 12 heads and 8 tails (in any order)?” is broken down into a number of easy to follow steps, and 40 words.