What is the probability that at least one inspector will find a defective?

Question

Finite math

 

Assume that the box contains 3 defective widgets and 13 acceptable widgets. There are 3 inspectors, each of whom selects a widget from the box at random, inspects it, and then replaces it in the box. Each inspector makes his or her inspection at a different time.
What is the probability that at least one inspector will find a defective widget?

Answer 1

Here ate some tips:

 

Essentially this is a binomial experiment with P(defective)=p=3/13 and n=3.

 

P(at least one defective) = 1 - P(no defective).

 

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