Odd

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Even

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Rules

Roll four dice to make a random walk. For each odd number, the walk steps left, and for each even number, the walk steps right. Walks end once they reach one of the five possible circles.

To start the game, each player gets tokens which they place in the circles.

Players take turns making walks by rolling dice. If a walk lands on a circle with a player’s token on it, they get to remove a token--even if they weren’t the one rolling. Whoever removes all their tokens first wins the game!

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Questions

Does it seem these random walks are equally likely to end at any circle?

What is the probability a random walk ends at the far right or far left circle?

What is the probability a random walk ends at the middle circle?

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Each player places six tokens in the circles here.

START

HERE

Revised on 2020.05.01

START

HERE

Weighted Rules

Let’s change the rules by assigning which numbers on your dice cause the random walk to move left or right.

Write your rules on the new game board, then try to figure out the probability of your random walk has of moving to the left or right.

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Questions

If a random walk has a one-fourth chance of going left, what is the probability it ends in the far left circle? ��What is the probability of this random walk landing in the far right circle?

What is the probability this random walk ends in the middle circle?

Give a random walk that has a 10% chance to go right. Find what is the probability to land on each circle.

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Each player places six tokens in the circles here.

Revised on 2020.05.01