Category Archives: Chutes and Ladders

Chutes and Ladders

To play Chutes and Ladders, you begin with your marker off the board.  Roll a die and move to the position on the board given by the die.  If you land at the bottom of a ladder, you exit the top.  If you land at the top of a Chute, you slide to the bottom.  To win the game of Chutes and Ladders, you must land exactly on cell 100.   Try 9 and 16 cell games to develop a theory of Chutes and Ladders related to the number of moves required to play the game.   How does the length of the game depend upon the number of sides to the die that is used?  How is a game with no chutes or ladders affected by the number of faces on the die?   How does adding a ladder or a chute affect the length of a game.  Does it depend upon where the ladder is added?

graph1