In a box of 6 pencils, a total of 2 are defective. If a customer buys 3 pencils selected at random from the box, what is the probability that neither pencils will be defective?	Choose the correct choice
A) 1/2
B) 1/5
C) 2/3
D) 2/5
E) 1/7
First, there are 4C3 ways you can select 3 good pencils from 4 good ones.   Second, there are 6C3 ways you select 3 pencils from 6 ones in the box.   Then, the probability that neither pen will be defective is: 4C3/6C3=4/20 = 1/5   Answer is 1/5
<result>B</result>
In a box of 6 pencils, a total of 2 are defective. If a customer buys 3 pencils selected at random from the box, what is the probability that neither pencils will be defective?