Problem 1: Suppose you flip 50 fair coins. a) How many possible outcomes (microstates) are there? b) What is the probability of getting exactly 25 heads and 25 tails? c) What is the probability of getting exactly 30 heads and 20 tails? d) What is the probability of getting exactly 40 heads and 10 tails? e) What is the probability of getting exactly 50 heads? f) Plot a graph of the probability of getting n heads, as a function of n?

Physics for Scientists and Engineers: Foundations and Connections
1st Edition
ISBN:9781133939146
Author:Katz, Debora M.
Publisher:Katz, Debora M.
Chapter22: Entropy And The Second Law Of Thermodynamics
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do A, B, and C please

Problem 1:
Suppose you flip 50 fair coins.
a) How many possible outcomes (microstates) are there?
b) What is the probability of getting exactly 25 heads and 25 tails?
c) What is the probability of getting exactly 30 heads and 20 tails?
d) What is the probability of getting exactly 40 heads and 10 tails?
e) What is the probability of getting exactly 50 heads?
f) Plot a graph of the probability of getting n heads, as a function of n?
Transcribed Image Text:Problem 1: Suppose you flip 50 fair coins. a) How many possible outcomes (microstates) are there? b) What is the probability of getting exactly 25 heads and 25 tails? c) What is the probability of getting exactly 30 heads and 20 tails? d) What is the probability of getting exactly 40 heads and 10 tails? e) What is the probability of getting exactly 50 heads? f) Plot a graph of the probability of getting n heads, as a function of n?
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