An experiment consists of throwing a die.
∴ The sample space of the experiment is given by S = {1, 2, 3, 4, 5, 6}
(i) Let E be the event that a prime number will appear. E = {2, 3, 5}
∴ P (E) =

n(E)

n(S)

=

3

6

=

1

2

(ii) Let F be the event that a number ≥ 3 will appear. F = {3, 4, 5, 6}
∴ P (F) =

n(F)

n(S)

=

4

6

=

2

3

(iii) Let G be the event that a number ≤ 1 will appear. G = {1}
∴ P (G) =

n(G)

n(S)

=

1

6

(iv) Let H be the event that a number more than 6 will appear. H = ϕ
∴ P (H) =

n(H)

n(S)

=

0

6

= 0
(v) Let I be the event that a number less than 6 will appear. I = {1, 2, 3, 4, 5}
∴ P (I) =

n(I)

n(S)

=

5

6