A letter is chosen at random from the word ‘ASSASSINATION’. Find the probability that letter is (i) a vowel (ii) a consonant

Solution:

There are 13 letters in the word ‘ASSASSINATION’.

Hence, the number of elements in the sample space is, n (S) = 13

(i) There are 6 vowels in the given

V = {A, A, I , A, I , O}; n (V) = 6

The required probability is,

P (V) = n (V)/n (S)

= 6/13

(ii) There are 7 consonants in the given

C = {S, S, S, S, N ,T , N}; n (C) = 7

The required probability is,

P (C) = n (C)/n (S)

= 7/13

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NCERT Solutions Class 11 Maths Chapter 16 Exercise 16.3 Question 10

A letter is chosen at random from the word ‘ASSASSINATION’. Find the probability that letter is (i) a vowel (ii) a consonant.

Summary:

A letter is chosen at random from the word ‘ASSASSINATION’. Then the probability that letter is (i) a vowel is 6/13 (ii) a consonant is 7/13