A letter is chosen at random from the letters of the word ‘ASSOCIATION’. Find the probability that the chosen letter is a (i) vowel, (ii) consonant, (iii) an S.
Total numbers of letters in the given word ASSOCIATION = 11
(i) Let E be the event of getting a vowel
The favourable outcomes are: (A, O, I, A, I, O)
Number of vowels in the given word = 6
∴ P (getting a vowel) = P (E) = 6/11
(ii) Let E be the event of getting a consonant
Favourable consonants in the given word = (S, S, C, T, N)
The numbers of favourable outcomes = 5
∴ P (getting a consonant) = P (E) = 5/11
(iii) Let E be the event of getting S
Number of S in the given word or number of favourable outcomes = 2
∴ P (getting an S) = P (E) = 2/11