Correct Answer - (i)
2
3
(ii)
1
5
(iii)
5
6
Number of all possible outcomes = 30.
(i) There are 10 numbers divisible by 3.
Number of numbers not divisible by 3 = 30 - 10 = 20.
∴ P(getting a number not divisible by 3) =
20
30
=
2
3
.
(ii) Prime numbers greater than 7 are 11,13,17,19,23,29.
Number of these prime numbers = 6.
∴ P(getting a prime number greater than 7) =
6
30
=
1
5
.
(iii) Perfect square numbers are 1,4,9,16,25. These are 5 in number.
Number of those numbers which are not perfect squares = 30-5 = 25.
∴ P(getting non-perfect square numbers) =
25
30
=
5
6
.