3.117 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?