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.