Before hearing the results of the call-in voting hours of songs from all ten of the...
Before hearing the results of the call-in voting hours of songs from all ten of the finalists. This year, viewers may have noticed that there were conveniently 5 females and 5 males in the final group of ten. If a random group of ten distinct on the season finale, viewers watch a couple of people is selected, and the probability of selecting a female for each individual selection is 2, what is the probability that this group of ten people will consist of 5 males and 5 females? Express your answer as a common fraction.