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?

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
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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?
Transcribed Image Text: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?
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