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Question

# 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 :No. of faulty devices in a packetNumber of packets 0 300 1 100 2 50 3 30 4 20 Total number of packets 500 If one packet is drawn from the box, what is the probability that all the four devices in the packet are without any fault?

A
0.5
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B
0.6
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C
0.8
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D
0.9
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Solution

## The correct option is B 0.6When the packet has all the four devices without fault, it means the number of faulty devices in the packet is 0. Number of chances which are favourable to 0 are 300 as given in the table above.Thus, the probability of packet containing all the four devices without any fault = 300500 = 35 =0.6

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