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: my solution
I still believe I am right (please specify why not): pa pb etc are EXCLUSIVE probabilities and therefore may be just added up.-
e.g. pc is a probability of player C winning in
the 1st round taking into account that A and B did not win.
You may also verify my figures by simulating the game and running it for ,say, 10000 times.