A math-olympics is being held this weekend among SPC Math professors. There are 60 professors signed up, and the first 3 finishers will receive $100,…

A math-olympics is being held this weekend among SPC Math professors. There are 60 professors signed up, and the first 3 finishers will receive $100, $50, and $20, respectively. If we assume that each professor has an equal chance of winning, what is the probability that Prof. Weideman will finish second?