Question

A letter is chosen at random from the letter of the word 'ASSOCIATION'. Find the probability that the chosen letter is a 

(i) vowel

(ii) consonant

(iii) S

Answer 1

Total numbers of letter in the given word ASSOCIATION = 11

(i) Number of vowels (A,O,I,A,I,O) in the given word = 6

Therefore, P(getting a vowel) = \(\frac{6}{11}\)

(ii) number of consonants in the given word (S,S,C,T,N) = 5

Therefore, P(getting a consonants) = \(\frac{5}{11}\)

(iii) number of S in the given word = 2

Therefore, P(getting an S) = \(\frac{2}{11}\)