5.54 Monkeys typing Shakespeare Since events of low prob- ability eventually happen if you observe enough trials, a monkey randomly pecking ally write a Shakespeare play just by chance. Let's see how hard it would be to type the title of Macbeth properly. Assume 50 keys for letters and numbers and punctuation. Find the probability that the first seven letters that a monkey types are macbeth. (Even if the monkey can type 60 strokes a minute and never sleeps, if we consider each sequence of seven keystrokes as a trial, we would wait on the average over 100,000 years before seeing this happen!) typewriter could eventu- on a

College Algebra
10th Edition
ISBN:9781337282291
Author:Ron Larson
Publisher:Ron Larson
Chapter8: Sequences, Series,and Probability
Section8.7: Probability
Problem 11ECP: A manufacturer has determined that a machine averages one faulty unit for every 500 it produces....
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5.54 Monkeys typing Shakespeare Since events of low prob-
ability eventually happen if you observe enough trials, a
monkey randomly pecking
ally write a Shakespeare play just by chance. Let's see how
hard it would be to type the title of Macbeth properly.
Assume 50 keys for letters and numbers and punctuation.
Find the probability that the first seven letters that a
monkey types are macbeth. (Even if the monkey can type
60 strokes a minute and never sleeps, if we consider each
sequence of seven keystrokes as a trial, we would wait on
the average over 100,000 years before seeing this happen!)
typewriter could eventu-
on a
Transcribed Image Text:5.54 Monkeys typing Shakespeare Since events of low prob- ability eventually happen if you observe enough trials, a monkey randomly pecking ally write a Shakespeare play just by chance. Let's see how hard it would be to type the title of Macbeth properly. Assume 50 keys for letters and numbers and punctuation. Find the probability that the first seven letters that a monkey types are macbeth. (Even if the monkey can type 60 strokes a minute and never sleeps, if we consider each sequence of seven keystrokes as a trial, we would wait on the average over 100,000 years before seeing this happen!) typewriter could eventu- on a
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