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
Thus evaluating the value of parameter required to proof that the events are independent.
From (1) and (2) (A).
Therefore, A and B are independent events.