Question
Class 12MathematicsProbability

Two dice are thrown. Find the probability of getting an odd number on the first die and a multiple of 3 on the other.

Verified Answer

Consider the following events:

A = getting an odd number on first die

B = getting a multiple of 3 on the second die.

We have, A = {1, 3, 5} and B = {3, 6}

∴ P(A) = 3/6=1/2 and P(B) = 2/6 = 1/3 

Now Required probability = P(A ∩ B) = P(A) P (B) = 1/2 × 1/3 = 1/6

[A and B are independent events]