Question:
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.
Solution:
Total numbers of letters 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 consonant) $=\frac{5}{11}$
(iii) Number of S in the given word = 2
$\therefore P$ (getting an $S$ ) $=\frac{2}{11}$