Question

A die is rolled. If the outcome is an even number, what is the probability that it is a number greater than 2?

Answer 1

We know that a die has 6 spaces

Sample space S = {1, 2, 3, 4, 5, 6}

Total no. of outcomes = 6

Consider P (A) as the probability of getting an even number

So the sample space A = {2, 4, 6}

P (A) = 3/6 = 1/2

Consider P (B) as the probability of getting a number whose value is greater than 2

So the sample space B = {3, 4, 5, 6}

(A ∩ B) = {4, 6}

We get

P (A ∩ B) = 2/6 = 1/3

Here the probability of getting a number greater than 2 given that the outcomes is even is written as