SOLUTION: #1) A batch of twelve batteries has two that are defective. Two are picked at random from the lot. What is the probability that at least one is defective?

Question 848618: #1) A batch of twelve batteries has two that are defective. Two are picked at random from the lot. What is the probability that at least one is defective?
Answer by ewatrrr(24785) (Show Source): You can put this solution on YOUR website!

 

Hi

P(defective) 2/12 = 1/6  , P(not defective) = 5/6

Two picked

P(at least one defective) = 1 -P(none defective) = 1-(5/6)^2



Note: The probability of x successes in n trials is: 

P = nCx*  where p and q are the probabilities of success and failure respectively. 

In this case p = 1/6   & q = 5/6.   n = 2

 



 

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