SOLUTION: Three ball bearings are drawn at random from a lot of 500 ball bearings , 10 of which are defective. Find the probability that the ball bearings drawn will be nondefective in drawi

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Question 485447: Three ball bearings are drawn at random from a lot of 500 ball bearings , 10 of which are defective. Find the probability that the ball bearings drawn will be nondefective in drawing (a) with replacement, (b) without replacement.
Answer by Edwin McCravy(20056) About Me  (Show Source):
You can put this solution on YOUR website!


Probability that all will be nondefective is



P(1st is nondefective)×P(2nd is nondefective)×P(3rd is nondefective)



(a) with replacement.  The probabilities do not change:



P(1st is nondefective)×P(2nd is nondefective)×P(3rd is nondefective) =





 

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(b) without replacement.  The probabilities do change:



P(1st is nondefective)×P(2nd is nondefective)×P(3rd is nondefective) =



 



So there is very little difference between the probabilies.



Edwin>/pre>