Simulation (2014 #2)
Nine sales representatives, 6 men and 3 women, at a small company wanted to attend a national convention. There were only enough travel funds to send 3 people. The manager selected 3 people to attend and stated that the people were selected at random. The 3 people selected were women.
There were concerns that no men were selected to attend the convention. Are these concerns warranted?
In the dot plot below, each dot represents the number of women in a randomly chosen (without replacement) in a group of 3. There are 100 trials represented.