I need some help please with this question:
A player decides whether to stop playing or not just after the first loss -or- after 10 games.
the probability for winning a single game is p.
all the games are independent.
Let X be the amount of total games which the player Participated.
I'm trying to look for the distribution of X [P(X=k)].
I let k be the number of games and if k is not ten the distribution is (p^k-1)*(1-p)
k-1 victories and one loss, I just can't see how to Involve the 10 detail into this Equation.