Assistant Principal Mrs. M is currently pursuing a doctoral.  She had this bonus question in one of her classes. She asked Mrs. H and the question got forwarded to me.   The question revolves around finding the probability of a Type II Probability (failing to reject a null hypothesis when it should have been rejected; a false negative).  A background in Stats is required to comprehend, and it is an interesting tool to have in your arsenal.  See pdf for more details