Quant finance interview question:



Three players A, B and C sit around a table. They have a strange coin which gives heads or tails with a probability ¼, and stays stuck on its side with a probability ½. Player A tosses the coin, if he gets side he wins, and the game is over. Otherwise if A gets heads he gives the coin to B, who is sitting at his right hand side. If A gets tails he gives the coin to C, who is sitting at his left hand side. The next player restarts the same process. What is the probability for each player to win the game?
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