A junk drawer at home contains five pens, two of which work . What is the probability that you randomly grab two pens from the drawer and don’t end up with a pen that works? Express your answer as a fraction in lowest terms or a decimal rounded to the nearest millionth.

The probability is

Step-by-step explanation:

From the question we are told that

   The number of pens from the drawer is  n =  5

   The number of pens that doesn't work is  k =  2

The probability that a does not work is

=>          

The probability that a pen works is

    =>  

Generally the probability that ending up with a pen that doesn't work is mathematically represented as  

=>        

=>