SOLUTION: in a lot of 100 light bulbs, there are 4 bad bulbs. An inspector inspects 10 bulbs selected at random. Find the probability of finding at least one defective bulb.

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Question 834689: in a lot of 100 light bulbs, there are 4 bad bulbs. An inspector inspects 10 bulbs selected at random. Find the probability of finding at least one defective bulb.

Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
P(at least 1 defect)=1-P(no defect)
P(no defect)=96%2F100=24%2F25
P(no defect, 4 bulbs)=%2824%2F25%29%2824%2F25%29%2824%2F25%29%2824%2F25%29=331776%2F390625
P(at least 1 defect)=1-331776%2F390625=390625%2F390625-331776%2F390625=58849%2F390625