A die is rolled. If the outcome is an even number, what is the probability that it is a number greater than 2?
A die has 6 faces and its sample space S={1,2,3,4,5,6}.
The total number of outcomes = 6.
Let P(A) be the probability of getting an even number.
The sample space of A = {2,4,6}
Let P(B) be the probability of getting a number whose value is greater than 2.
The sample space of B = {3,4,5,6}
Tip – By conditional probability, 
where 
is the probability of occurrence of the event A given that B has already occurred.
The probability of getting a number greater than 2 given that the outcome is even is given by:
1