Let ( S,20 be a simple random walk starting from 0. Let P(S = 1) = p. If the probability that the simple random walk never returns to 0 is at most . What is the smallest possible value that p can take?

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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Let {S, n20 be a simple random walk starting from 0. Let P(S, = 1) = p. If the probability that the simple random walk
never returns to 0 is at most . What is the smallest possible value that p can take?
Transcribed Image Text:Let {S, n20 be a simple random walk starting from 0. Let P(S, = 1) = p. If the probability that the simple random walk never returns to 0 is at most . What is the smallest possible value that p can take?
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