Department of Pre-University Education, KarnatakaPUC Karnataka Science Class 11

# If a Letter is Chosen at Random from the English Alphabet, Find the Probability that the Letter is a Consonant . - Mathematics

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

#### Solution

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

Out of the 21 consonants of the English alphabet, one consonant can be chosen in 21C1ways.
So, favourable number of events = 21C1 = 21
Hence, required probability =$\frac{21}{26}$

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#### APPEARS IN

RD Sharma Class 11 Mathematics Textbook
Chapter 33 Probability
Exercise 33.3 | Q 31.2 | Page 47