devarshi-dt-logo

Question:

Given that the drawn ball from U₂ is white, the probability that head appeared on the coin is?

17/23

15/23

12/23

11/23

Solution:

Required Probability = P(H|W) = P(H∩W) / P(W)
P(H, W) = 1/2 (3/5 × 1 + 2/5 × 1/2) = 2/5
P(W) = 23/30 (from previous question)
Therefore, P(H|W) = (2/5) / (23/30) = 12/23