Northeastern WOOTers Mock AIME I Problems/Problem 8
Dai the Luzon bleeding-heart has numbered lillypads, through . Then, Ryan the alligator eats those lillypads with the intention of eating Dai. Dai starts on a random lillypad and flies around between lillypads randomly every minute. Ryan also eats a random lillypad every minute. If the expected number of minutes left for Dai to live is , where and are relatively prime positive integers, find .
101/2 ---> 103