You can type blindfold at your keyboard, but that comes at a disadvantage of making typos. Let us say that you are required to type the word FLASH. You might insert an extra letter (all 26 letters equally likely) with probability 0.1, skip any required letter with probability 0.1, or write the correct required letter with probability 0.8. What is the probability that, when required to type the word FLASH, you instead end up writing FAST? To be more clear Letters F, A, S are correct required letters L and H are skipped letters T is the extra letter

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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You can type blindfold at your keyboard, but that comes at a disadvantage of making
typos. Let us say that you are required to type the word FLASH. You might insert an
extra letter (all 26 letters equally likely) with probability 0.1, skip any required letter
with probability 0.1, or write the correct required letter with probability 0.8. What
is the probability that, when required to type the word FLASH, you instead end up
writing FAST?

To be more clear

  • Letters F, A, S are correct required letters
  • L and H are skipped letters
  • T is the extra letter
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