Probability Ques 51

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) $\frac{1}{3}$

(b) $\frac{1}{6}$

(c) $\frac{1}{2}$

(d) $\frac{1}{4}$

(1998, 2M)

Show Answer

Answer:

Correct Answer: 51.(b)

Solution:

Formula:

Multiplication Theorem:

  1. Probability that only two tests are needed =Probability that the first machine tested is faulty $\times$ Probability that the second machine tested is faulty $=\frac{2}{4} \times \frac{1}{3}=\frac{1}{6}$


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