() If you take a string of letters at random, what\'s the probability that it\'s
ID: 3873578 • Letter: #
Question
() If you take a string of letters at random, what's the probability that it's a word?
A) How many five-letter English words are there? What percentage of the five-letter strings are words? You may round your answer to one significant digit. (Note: in python, an answer like 1.27e5 means 1.27 * (10 ** 5), or 127000 -- the decimal place is shifted five places to the right. An answer like 1.27e-5 means 1.27 * (10 ** (-5)), or 0.0000127 -- the decimal point is shifted five place to the left. I want you to give your answers in normal decimal format, without the 'e' notation.)
B) What is the fraction and the percentage for six-letter words? Write our your answers in ordinary decimal notation. You may round your answers to one significant digit.
C) What is the fraction and percentage for twelve-letter words? Write our your answers in ordinary decimal notation. You may round your answers to one significant digit.
D) How about twenty-letter words? Write our your answers in ordinary decimal notation. You may round your answers to one significant digit.
Explanation / Answer
A) Total number of 5 letter english words = 158390
Total number of 5 letter strings possible = 26^5=11881376
Fraction=1.33%
B)
Total number of 6 letter english words = 87151
Total number of 6 letter strings possible = 26^6=308915776
Fraction=0.028%
C)
Total number of 12 letter english words = 11553
Total number of 12 letter strings possible = 26^12=95428956661682176
Fraction=0.00000000000012
D)
Total number of 20 letter english words = 200
Total number of 20 letter strings possible = 26^20=19928148895209409152340197376
Fraction=0.00000000000000000000000001
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