A biased coin has probability p of landing heads and probability of 1-p landing tails. The coin is flipped until the very next occurance that matches the initial flip. What is the number of flips required, on average? (That is, what is the expected number of flips, including the first, as a function of p?)
A biased coin has probability p of landing heads and probability of 1-p landing tails. The coin is flipped until the very next occurance that matches the initial flip. What is the number of flips required, on average? (That is, what is the expected number of flips, including the first, as a function of p?)
College Algebra
7th Edition
ISBN:9781305115545
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter9: Counting And Probability
Section9.3: Binomial Probability
Problem 2E: If a binomial experiment has probability p success, then the probability of failure is...
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A biased coin has
The coin is flipped until the very next occurance that matches the initial flip. What is the number of flips required, on average? (That is, what is the expected number of flips, including the first, as a
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