Consider the experiment of tossing a fair die and let A obse

Consider the experiment of tossing a fair die and let A: {observe an even number}, B: {observe a number less than 5}. Are events A and B are independent?

Solution

The outcomes in tossing a fair die are: {1,2,3,4,5,6}

Thus, the P(A=observe an even number)=3/6=1/2

P(B, observe numbers less than 5)=5/6

Now, P(A)*P(B) is not equal to P(AB)

Thus, the two events are not independent.