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?

A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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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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