Question 730731
.
Your teacher chooses 2 students at random to represent your homeroom. 
The homeroom has a total of 30 students, including your best friend. 
What is the probability that you and your best friend are chosen?
~~~~~~~~~~~~~~~~~~~~~~~~~~


<pre>
The total number of different pairs is  {{{(30*29)/2}}} = 435  (the order does not matter).


There is only one preferable pair: you and your best friend (the order does not matter).


Therefore, the probability of this happy case is  {{{1/435}}}.    <U>ANSWER</U>
</pre>

Solved.


------------------------


The answer in the post by @lynnlo is incorrect.

So and therefore, ignore his post.