Difference between revisions of "Northeastern WOOTers Mock AIME I Problems/Problem 8"
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Latest revision as of 23:24, 2 March 2020
Problem
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 
.
Solution
101/2 ---> 103
