Company X shipped 5 computer chips, 1 of which was defective, and Company Y…
2007
Company X shipped 5 computer chips, 1 of which was defective, and Company Y shipped 4 computer chips, 2 of which were defective. One computer chip is to be chosen uniformly at random from the 9 chips shipped by the companies. If the chosen chip is found to be defective, what is the probability that the chip came from Company Y ?
- A.
2/9
- B.
4/9
- C.
2/3
- D.
1/2
Attempted by 19 students.
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Correct answer: C
There are 3 defective chips in all: 1 from company X and 2 from company Y. Given that the selected chip is defective, the favourable defective chips from company Y are 2 out of 3. Therefore the probability is 2/3.