MathDB

Heesu plays a game where he starts with

1

piece of candy. Every turn, he flips a fair coin. On heads, he gains another piece of candy, unless he already has

5

pieces of candy, in which case he loses

4

pieces of candy and goes back to having

1

piece of candy. On tails, the game ends. What is the expected number of pieces of candy that Heesu will have when the game ends?

Problem Statement