Question

Slips of letters of the word ‘BACKGROUND’ are put in a bowl and thoroughly mixed. One slip is picked up at random. Find the probability that picked up slip’s letter is (i) a vowel (ii) present in the word ‘BALL’.

Answer 1

Total outcomes = 10

{B, A, C, K, G, R, O, U, N, D}

(i) Favourable outcomes (a vowel) = 3

Required probability = `"Favourable outcomes"/"Total outcomes"`

= `3/10`

(ii) Favourable outcomes = 2

{In ‘BALL’ word ⇒ B, A}

Required probability = `2/10`