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Iteru [2.4K]
3 years ago
11

Five good light bulbs and two defective ones were mixed up unknowingly. To identify the defective ones for disposal, the bulbs a

re tested one one by one. If both defective ones are identified in the testing of the second one, what is the probability of this event?
Mathematics
1 answer:
Alexxandr [17]3 years ago
4 0

Answer:

The probability of the event of identifying both the defective bulb in the second attempt is \frac{1}{21}.

Step-by-step explanation:

The number of good light bulbs is 5 and the number of defective bulbs is 2.

It is provided that when a defective bulb is found in the inspection it is disposed.

If a defective bulb is found in the first trial the probability of his event is \frac{2}{7}.

Now the remaining number of bulbs is 6.

If a defective bulb is found in the second trial the probability of his event is \frac{1}{6}.

So the probability of identifying both the defective bulb in the second attempt is:

P (Selecting a defective bulb in 1st attempt) × P (Selecting a defective bulb in 2nd attempt) =

                     =\frac{2}{7}\times\frac{1}{6}  \\=\frac{1}{21}

Thus, the probability of the event of identifying both the defective bulb in the second attempt is \frac{1}{21}.

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