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Suppose you flip 1000 coins.a) What is the probability of

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

Solution for problem 16P 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 16P

Suppose you flip 1000 coins.

a) What is the probability of getting exactly 500 heads and 500 tails? (Hint: First write down a formula for the total number of possible outcomes. Then, to determine the “multiplicity” of the 500-500 “macrostate,” use Stirling’s approximation. If you have a fancy calculator that makes Stirling’s approximation unnecessary, multiply all the numbers in this problem by 10, or 100, or 1000, until Stirling’s approximation becomes necessary.)

b) What is the probability of getting exactly 600 heads and 400 tails?

Step-by-Step Solution:

Solution

Step 1

We know that probability describes the possibility of the outcomes of an experiment .

In this case the the number  of ways to get 500 heads and 500 tails by flipping 1000

 coins is given by

==…………….(1)   

Step 2 of 4

Chapter 2, Problem 16P is Solved
Step 3 of 4

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

The full step-by-step solution to problem: 16P from chapter: 2 was answered by , our top Physics solution expert on 07/05/17, 04:29AM. 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. The answer to “Suppose you flip 1000 coins.a) What is the probability of getting exactly 500 heads and 500 tails? (Hint: First write down a formula for the total number of possible outcomes. Then, to determine the “multiplicity” of the 500-500 “macrostate,” use Stirling’s approximation. If you have a fancy calculator that makes Stirling’s approximation unnecessary, multiply all the numbers in this problem by 10, or 100, or 1000, until Stirling’s approximation becomes necessary.)________________b) What is the probability of getting exactly 600 heads and 400 tails?” is broken down into a number of easy to follow steps, and 83 words. This full solution covers the following key subjects: Approximation, stirling, Probability, tails, heads. This expansive textbook survival guide covers 10 chapters, and 454 solutions. Since the solution to 16P from 2 chapter was answered, more than 668 students have viewed the full step-by-step answer.

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Suppose you flip 1000 coins.a) What is the probability of