SOLUTION: Three light bulbs are selected in succession from 15 bulbs of which 5 are defective. If the each bulb drawn is returned every after drawing, find the probability that exactly one d

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Question 1194855: Three light bulbs are selected in succession from 15 bulbs of which 5 are defective. If the each bulb drawn is returned every after drawing, find the probability that exactly one defective bulb is selected
Answer by ikleyn(52792) About Me  (Show Source):
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Three light bulbs are selected in succession from 15 bulbs of which 5 are defective.
If the each bulb drawn is returned every after drawing, find the probability
that exactly one defective bulb is selected.
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This problem is on the binomial probability distribution.


The number of trials is 3; the number of succesful trials is 1 (one);

the probability of the success is  p = 5%2F15 = 1%2F3  (getting a defective bulb).


Therefore, the probability under the problem's question is


    P = C%5B3%5D%5E1%2A%281%2F3%29%5E1%2A%282%2F3%29%5E2 = 3%2A%281%2F3%29%2A%282%2F3%29%5E2 = 4%2F9.    ANSWER

Solved.