This question was previously asked in

GATE CS 2010 Official Paper

- pq + (1 - p) (1 - q)
- (1 - q)p
- (1 - p)q
- pq

Option 1 : pq + (1 - p) (1 - q)

Probability of faculty assembly of any computer=p

The probability that the testing process gives the correct result= q

Required probability= Probability of faulty assemble when it is tested correct or Probability of right assemble when it is tested incorrect.

=(pq)+(1-p)(1-q)

**Hence the correct answer is ***pq + (1 - p) (1 - q)*

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