What is the probability that a word is found in the dictionary ?
Algebra
Level
pending
In the English dictionary there are approximately 158390 5 letter words. If letters are drawn randomly from the English alphabet what is the probability that after 5 draws a word formed out of the 5 letters drawn will be found in the English dictionary.
The answer is 0.013330948.
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1 solution
There are 26 letters in the English Alphabet. So the number of 5 letter sequences that can be formed using 26 letters is 26^5 = 11881376. It is given that there are 158390 5 letter words in the English Dictionary. So p is 158390/11881376 = 0.013330948.