A recruiting manager has six internship applications, three men and three women. He has to choose two for a special project. So as not to play favorites, he decides to select the two at random. Let denote the number of women selected. Find the probability distribution for .

Please explain :

1- why the probability of choosing one girl is 3/5? 2- the probability of choosing at least one female.

3- the probability of at most one female application.

use the set notation if possible