My Aunt Agatha has given me a clockwork orange for my birthday. I place it in the middle of my dining table which happens to be exactly 2 metres long. One minute after I place it on the table it makes a loud whirring sound, emits a puff of green smoke and moves 10 cm towards the left-hand end of the table with probability 3/5, or 10 cm towards the right with probability 2/5. It continues in this manner (the direction of each move being independent of what has gone before) at one minute intervals until it reaches the edge of the table where it promptly falls off. If it falls off the left-hand end it will break my Ming vase (also a present from Aunt Agatha). If it falls off the right-hand end it will land safely in a bucket of water. What is the probability that the Ming vase will survive?

My Aunt Agatha has given me a clockwork orange for my birthday. I place it in the middle of my dining table which happens to be exactly 2 metres long. One minute after I place it on the table it makes a loud whirring sound, emits a puff of green smoke and moves 10 cm towards the left-hand end of the table with probability 3/5, or 10 cm towards the right with probability 2/5. It continues in this manner (the direction of each move being independent of what has gone before) at one minute intervals until it reaches the edge of the table where it promptly falls off. If it falls off the left-hand end it will break my Ming vase (also a present from Aunt Agatha). If it falls off the right-hand end it will land safely in a bucket of water. What is the probability that the Ming vase will survive?

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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