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An Introduction to Thermal Physics | 1st Edition | ISBN: 9780201380279 | Authors: Daniel V. Schroeder
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Suppose you flip 20 fair coins.(a) How many possible

Chapter 2, Problem 2P

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QUESTION:

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)?

(c) What is the probability of getting 12 heads and 8 tails (in any order)?

Questions & Answers

QUESTION:

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)?

(c) What is the probability of getting 12 heads and 8 tails (in any order)?

ANSWER:

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 = states

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

                                        Number of microstates =

                                                microstates

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