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Fri 22 Aug, 2014 01:09 am
To finish the game, a player must roll the exact number required to land on the final square, numbered 100. If the die shows a number greater than the
remaining number of squares, the player cannot move, and must wait until their next turn to try and finish the game.
For example, if a player is on square 97, they could finish the game in one roll by rolling a 3. They could finish the game in two rolls, either by rolling a 2 on the first turn, and then rolling a 1 on the second turn, or by rolling a 5 on the first turn (which means they cannot move for that turn), and then rolling a 3 on the second turn.
What is the probability of finishing the game from square 95 in exactly 3 rolls?