Question

A bag contains 25 cards numbered from 1 to 25. A card is drawn at random from the bag. Find the probability that the number on the drawn card is : (i) divisible by 3 or 5 (ii) a perfect square number.

Answer 1

(1) favourable outcomes= 3,5,6,9,10,12,15,18,20,21,24,25

The probability of getting a card of number divisible by 3 or 5 is 12/25

(2) favourable outcomes=1 , 4 ,9 ,16 , 25

The probability of getting a card of perfect square number is 5/25 = 1/5

Answer 2

total no. of possible outcomes=25

(i)No. of favorable oucomes=12 (3,6,9,12,15,18,21,24,5,10,20,25)

P(E1) = 12/25

(ii) No.of favorable outcomes= 5(1,4,9,16,25)

P(E2)= 5/25= 1/5