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 by Charlie)
Charlie,
You wrote:
"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.