Solution We know that the sample space is S = {1, 2, 3, 4, 5, 6}
Now
E = { 3, 6}, F = { 2, 4, 6} and  E ∩ F = {6}
Then
P(E) = 2
1
3
1
1
, P(F)
and P(E
 F)
6
3
6
2
6
=
=
=
∩
=
Clearly
P(E ∩ F) = P(E) P (F)
Hence
E and F are independent events Example 11 An unbiased die is thrown twice Let the event A be ‘odd number on the
first throw’ and B the event ‘odd number on the second throw’