Cards numbered 1 to 30 are put in a bag.
So, total number of cards = 30
(i) Numbers divisible by 3 form 1 to 30 = {3,6,9,12,15,18,21,24,27,30}
Total numbers divisible by 3 = 10
Numbers not divisible by 3 = 30 – 10 = 20
P(drawn card is not divisible by 3) = 20/30 = 2/3
(ii) A prime numbers greater than 7 form 1 to 30 = {11, 13, 17, 19, 23, 29}
Total prime number greater than 7 = 6
P(drawn card is a prime number greater than 7) = 6/30 = 1/5
(iii)
Perfect square numbers form 1 to 30 = {1,4,9,16,25}
Number of Perfect square = 5
Non perfect square numbers = 30-5 = 25
P(drawn card is not a perfect square number) = 25/30 = 5/6
