A biased coin has probability p to land heads and q = 1- p to land tails. (a) The coin is flipped until the very next occurrence that matches the initial flip. What is the number of flips required, on average? (b) The coin is flipped until the first occurrence that differs from the initial flip. What is the number of flips required, on average?

A biased coin has probability p to land heads and q = 1- p to land tails. (a) The coin is flipped until the very next occurrence that matches the initial flip. What is the number of flips required, on average? (b) The coin is flipped until the first occurrence that differs from the initial flip. What is the number of flips required, on average?

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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