Three players (Tom, jery and Harry) are playing the following game: Starting with Tom, they take turns (in that particular order) to roll a special die that has ‘3’ marked on three of its sides, ‘2’ marked on two of its sides and ‘1’ on the remaining side. Whoever gets a ‘1’ for the first time wins the game. Find P(Tom wins), P(jery wins) and P(Harry wins). If it is given that Harry has won, what are the conditional chances that he won on his 1st attempt?
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