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Three companies, X, Y and Z supply computers to a university. The percentage of computers supplied by them and the probability of those being defective are tabulated below.

 Company  % of computers supplied   Probability of being defective
 X  60%  0.01
 Y  30%  0.02
 Z  10%  0.03

Given that a computer is defective, the probability that it was supplied by Y is: [2 marks]
(A) 0.1
(B) 0.2
(C) 0.3
(D) 0.4

I got the correct answer by applying bayees theorem. But that theorem is applicable where the events are collectively exhaustive and mutual exclusive. These are collectively exhaustive but i don't think that they are mutually exclusive as Supplying of x does not mean that y wont supply.Please clear this doubt.

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