Given: A fair coin and an unbiased die are tossed.

Let A be the event head appears on the coin. So the sample space of the event will be:

Now, Let be the event 3 on the die. So the sample space of event will be:

The probability of the event will be

As, A

Thus evaluating the value of parameter required to proof that the events are independent.

(1)

And

From (1) and (2) (A).

Therefore, A and B are independent events.