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 solution
"Some player will eventually win, and the probability will be in proportion to the individual probabilities within one round."
But the problem states, as a given:
"They all have even odds of winning a game."
These are in contradiction.