Mass function tricky question

You want to know if you are the strongest in class (n people), so you decide to play arm wrestling (there are no ties, and out of two people, the stronger guy always wins, no matter how many times they play). You pick always a random opponent among the people you haven't yet played, and continue until your rst loss or until you beat everyone. By the time you are finished, you won X games. What is the mass function of X, so what is P(X = i)
for i = 0, 1, ..., n - 1?