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There are $500$ packets in a large box and each packet contains $4$ electronic devices in it. On testing, at the time of packing, it was noted that there are some faulty pieces in the packets. The data is as below:

If one packet is drawn from the box, what is the probability that only 3 device in the packet is faulty?

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0.02

0.04

0.06

0.08

answer is C.

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Detailed Solution

Given 500 packets in a large box, 4 electronic devices in each packet.
Question Image

When the packet has only three devices faulty, it means the number of faulty devices in the packet is

3

.
Total number of packets n(S)=500 (Given)
Number of chances which are favorable to

3

are

n (E) = 30

as given in the table above.
Thus, the probability of packet containing only one device faulty:
Probability

= \frac{n (E)}{n (S)}

Probability

= \frac{30}{500}

= \frac{3}{50}

= 0.06

Therefore, option (3) is correct.

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