Each of six different locks has a matching key. The keys are randomly reassigned to the locks. What is the probability that exactly two of the keys fit the locks to which they are reassigned?  Options.
A) 1/8  B) 1/36  C) 1/4  D) 3/8  E) 1/2
I was just going over probability questions.   can some one explain me what's wrong in my approach here.   Probability of choosing one right key out of 6 is 1/6.   Probability of choosing another right key is 1/6.   since the question is asking for 2 right keys , probability is multiplication of both = 1/6 * 1/6 = 1/36.   Ans 1/36
<result>B</result>
Each of six different locks has a matching key. The keys are randomly reassigned to the locks. What is the probability that exactly two of the keys fit the locks to which they are reassigned?