GATE 2026 CH – Question 34
An experiment is performed by rolling an unbiased die once. Events A and B are defined as follows:
Event A: The outcome of the rolled die is a prime number.
Event B: The outcome of the rolled die is an odd number less than 4.
The conditional probability of A given B, denoted by P(A|B), is ______ (rounded off to one decimal place).
Practise this question in The GATE Grind →
Show answer and explanation
Correct answer: 0.49 to 0.51
Explanation
Event B is $\{1, 3\}$ and event A is $\{2, 3, 5\}$. The outcome in both is 3 only. So $P(A|B) = \frac{P(A \cap B)}{P(B)} = \frac{1/6}{2/6} = 0.5$.