1. Suppose we toss a fair coin independently n times. Therefore the probability of head for each coin toss is 1/2. Show that the probability of having even number of heads after n-many tosses is exactly 1/2 for any n > 0. (Hint: use mathematical induction)
1. Suppose we toss a fair coin independently n times. Therefore the probability of head for each coin toss is 1/2. Show that the probability of having even number of heads after n-many tosses is exactly 1/2 for any n > 0. (Hint: use mathematical induction)
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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Suppose we toss a fair coin independently n times. Therefore the probability
of head for each coin toss is 1/2. Show that the probability of having even number of
heads after n-many tosses is exactly 1/2 for any n > 0. (Hint: use mathematical
induction)"
Transcribed Image Text:1.
Suppose we toss a fair coin independently n times. Therefore the probability
of head for each coin toss is 1/2. Show that the probability of having even number of
heads after n-many tosses is exactly 1/2 for any n > 0. (Hint: use mathematical
induction)
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