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 a 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 the company Y?
Answer: C. 2/3 — First, calculate the total number of defective chips. Company X shipped 1 defective chip and Company Y shipped 2 defective chips, resulting in a total of 3…
- A.
2/9
- B.
4/9
- C.
2/3
- D.
1/2
Attempted by 78 students.
Show answer & explanation
Correct answer: C
First, calculate the total number of defective chips. Company X shipped 1 defective chip and Company Y shipped 2 defective chips, resulting in a total of 3 defective chips. Since the chosen chip is known to be defective, we restrict our sample space to these 3 chips. Among the 3 defective chips, 2 originated from Company Y. Thus, the conditional probability that the chip came from Company Y is the number of defective chips from Y divided by the total number of defective chips, which equals 2/3.
Explore the full course: Iocl Engineers Officers Grade A Paper 2