Probability 3 Question 13

13. There are four machines and it is known that exactly two of them are faulty. They are tested, one by one, in a random order till both the faulty machines are identified. Then, the probability that only two tests are needed, is

(a) 13

(b) 16

(c) 12

(d) 14

(1998, 2M)

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Solution:

  1. Probability that only two tests are needed =Probability that the first machine tested is faulty × Probability that the second machine tested is faulty =24×13=16


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