You can type blindfold at your keyboard, but that comes at a disadvant

nuais6lfp

nuais6lfp

Answered question

2021-11-17

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 anextra 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?
Hint:
- Letters F, A, S are correct required letters
- L and H are skipped letters
- T is the extra letter

Answer & Explanation

Drood1980

Drood1980

Beginner2021-11-18Added 16 answers

Step 1
Letters F, A, S are correct required letters.
Given that the probability of writing the correct letter is 0.8.
So the probability of typing F, A, and S is =0.8×0.8×0.8=0.512
Given that the probability of skipping a letter is 0.1
So the probability of skipping L and H is =0.1×0.1=0.001
Given that the probability of writing an extra letter is 0.1
So the probability of writing T extra is =0.1
Step 2
So the total probability of typing FAST is =0.512×0.001×0.1=0.000512
Answer: 0.000512

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