You are appearing at 6 consecutive exams. Probability for you to pass each of the exam, p = 4/5. Once you pass an exam, there is no need to sit for the rest. What is the probability that you pass having sat for all 6 exams?

Algebra and Trigonometry (MindTap Course List)
4th Edition
ISBN:9781305071742
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter14: Counting And Probability
Section14.3: Binomial Probability
Problem 33E
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 You are appearing at 6 consecutive exams. Probability for you to pass each of the exam, p = 4/5. Once you pass an exam, there is no need to sit for the rest. What is the probability that you pass having sat for all 6 exams?

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