Expected Dice Expected Dice

For this task, you'll be playing some classic tabletop games. Or rather, you're going to be, but first you'd like to know more about the probabilities involved in dice rolling.

Many board games fall under the category of "roll and move" games. In these games, you roll some dice and move that many spaces forward. You might then move forward or backwards a number of spaces depending on which space you land on.

Given a description of the board and the dice used, you want to work out what the expected number of moves would be to reach a target square. For this task, all the boards under consideration are circular...

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