Sample space S = {1, 2, 3, 4, 5, 6}
Let p be the probability of getting six =

1

6

and q be the probability of not getting six =1−

1

6

=

5

6

Since X denote the random variable, which represents the number of sixes.
∴ X can assume the values 0, 1, 2
∴P(X=0)=q×q =

5

6

×

5

6

=

25

36

P(X=2)=p×p =

1

6

×

1

6

=

1

36

Hence, the probability distribution :Hence, the expectation of X = E(X) =∑XP(X)
=0×

25

36

+1×

5

18

+2×

1

36

=

1

3