4 people play a game of chance. They each take turns until everyone has taken a turn, then they begin a new round. They stay in the same order every round. Every time a player takes a turn, they have a certain chance of winning. When someone wins, the game ends. They all have even odds of winning a game. The chance of someone winning in any given round is 3/5.
What is the probability for each person to win during their turns?
(In reply to re(2): another remark to SK 'S solution
I believe that further correspondance is really counter-productive, since both of us define different games.
Your remark about inserting x instead of pb and pc is a valuable one and I am going to correct my answers accordingly -later.
It would be beneficial for everybody if the author (Tristian) will specify the nature of the game e.g. in terms of marbles in a bag. As you know in my model one draws a marble( the same distribution for everybody)- if won the game ends,- if not the marble is returned.
I do not know how to pass my remarks to the author of the puzzle- may be you do.