Hi

A manufacturing machine has a 1% defect rate. 

4 items are chosen at random

P(at least one will have a defect)

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 = .01 and q = .99

nCx = 

 P(at least one defective) = 1 - P(none defective) = 1 - (.99)^4 =.0394 

P(at least one defective)= .0394 

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