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If a Letter is Chosen at Random from the English Alphabet, Find the Probability that the Letter Is a Vowel .

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Question

If a letter is chosen at random from the English alphabet, find the probability that the letter is  a vowel .

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Solution

We know that there are 26 letters in the English alphabet.
So, total number of elementary events, n(S) = 26

Out of the five vowels of the English alphabet (a, e, i, o, u), one vowel can be chosen in 5C1 ways.
So, favourable number of events = 5C1 = 5
Hence, required probability =  \[\frac{5}{26}\]

 

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Chapter 33: Probability - Exercise 33.3 [Page 47]

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R.D. Sharma Mathematics [English] Class 11
Chapter 33 Probability
Exercise 33.3 | Q 31.1 | Page 47

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