A letter is chosen at random from the word ‘ASSASSINATION’.
Question:

A letter is chosen at random from the word ‘ASSASSINATION’. Find the probability that letter is

(i) a vowel

(ii) an consonant

Solution:

There are 13 letters in the word ASSASSINATION.

$\therefore$ Hence, $n(S)=13$

(i) There are 6 vowels in the given word.

$\therefore$ Probability (vowel) $=\frac{6}{13}$

(ii) There are 7 consonants in the given word.

$\therefore$ Probability (consonant) $=\frac{7}{13}$