Let S be the sample space : S = {1, 2, 3, 4, 5, 6}
p = probability of getting a number greater than 4 i.e., {5, 6} =

2

6

=

1

3

q = probability of not getting a number greater than 4 i.e., {1, 2, 3, 4} =

4

6

=

2

3

Let X denote the random variable, which represents the number comes on the die will be greater than 4.
∴ X can assumes the values 0, 1, 2
P X( ) = 0 = q × q =

2

3

×

2

3

=

4

9

,
P(X=1)=p×q+q×p =

1

3

×

2

3

+

2

3

×

1

3

=

4

9

P(X=2)=p×p =

1

3

×

1

3

=

1

9

Hence, the probability distribution :