Question 137
There are 5 people who start with $1, 2, 3, 4$, and $5$ cookies, respectively. Every minute, two different people are chosen uniformly at random. If they have $a$ and $b$ cookies and $a \neq b$, the person with more cookies eats $|a-b|$ of their own cookies. If $a = b$, the minute still passes with nothing happening.
Compute the expected number of minutes until all 5 people have an equal number of cookies.
Compute the expected number of minutes until all 5 people have an equal number of cookies.