Question

Cards marked with numbers 13, 14, 15, ...., 60 are placed in a box and mixed thoroughly. One card is drawn at random from the box. Find the probability that number on the card drawn is

(i) divisible by 5

(ii) a number is a perfect square

Answer 1

Total no. of possible outcomes = 48 {13, 14, 15, …., 60}

(i) E ⟶ event of getting no divisible by 5

No. of favourable outcomes = 10{15, 20, 25, 30, 35, 40, 45, 50 55, 60}

Probability, P(E) = (No.of favorable outcomes)/(Total no.of possible outcomes)

P(E) = 10/48 = 5/24

(ii) E ⟶ event of getting a perfect square.

No. of favourable outcomes = 4 {16, 25, 36, 49}

P(E) = 4/48 = 1/12