2024 SSMO Relay Round 1 Problems/Problem 3
Problem
Let 
In a circle, there are 
people. 
of them have red shoes, and two of them have blue shoes. First, they will randomly eliminate somebody from the circle. Then, they will randomly eliminate somebody with red shoes from the circle, and the cycle repeats until there is only one person left. If the probability this person has blue shoes is 
for relatively prime positive integers 
and 
find 
