Note that this exercise represents a completely imaginary situation. Suppose that a statistics class contained exactly 8 men and 8 women. You have discovered that the teacher decided to assign 5 Fs on an exam by randomly selecting names from a hat. He concluded that this would be easier than actually grading all those papers and that his students are all equally skilled in statistics-but someone has to get an F. What is the probability that all 5 Fs were given to male students?