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GATE | GATE-CS-2005 | Question 51

Box P has 2 red balls and 3 blue balls and box Q has 3 red balls and 1 blue ball. A ball is selected as follows:
(i)  Select a box
(ii) Choose a ball from the selected box such that each ball in
     the box is equally likely to be chosen. The probabilities of
     selecting boxes P and Q are (1/3) and (2/3), respectively.  
Given that a ball selected in the above process is a red ball, the probability that it came from the box P is

(A)

4/19

(B)

5/19

(C)

2/9

(D)

19/30

Answer

Please comment below if you find anything wrong in the above post
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