Cards numbered 1 to 30 are put in a bag. A card is drawn at random from this bag. Find the probability that the number on the drawn card is
(i) not divisible by 3
(ii) a prime number greater than 7
(iii) not a perfect square number.
Total number of possible outcomes, n(S) = 30
(i) Number of favorable outcomes of numbers divisible by 3, n(E) = 10
Probability of getting a number not divisible by 3 = 1 – P(E)
(ii) Number of favorable outcomes, n(E) = 6
(iii) Number of favorable outcomes of getting a perfect square, n(E) = 5
Probability of not getting a perfect square = 1 – P(E)
61