A “tricky” coin behaves just like a normal coin with each toss resulting in a “head” or a “tail” with equal probability unless three tosses in a row result in all “tails”. In that case the next toss of the coin is always a “head” and never a “tail”. Determine the entropy of this “tricky” coin.

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 “tricky” coin behaves just like a normal coin with each toss resulting in a “head” or a “tail” with equal probability unless three tosses in a row result in all “tails”. In that case the next toss of the coin is always a “head” and never a “tail”. Determine the entropy of this “tricky” coin.
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