Let The Mouse Go

Discrete Mathematics Level 4

At a famous scientific laboratory, a mouse is stuck in a (infinitely large) three dimensional lattice. As scientists have injected it with experimental drugs, the mouse is extremely groggy and thus has a uniform probability of moving to any of the 6 adjacent cells (up, down, left, right, front, back).

What is the probability that after its sixth move, the mouse is back at its starting cell?

Give your answer to 5 decimal places.

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Let The Mouse Go

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Courses

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Community

100 Day Summer Challenge

Let The Mouse Go

Excel in math and science

Master concepts by solving fun, challenging problems.

It's hard to learn from lectures and videos

Learn more effectively through short, conceptual quizzes.

Our wiki is made for math and science

Master advanced concepts through explanations, examples, and problems from the community.

Used and loved by 4 million people

Learn from a vibrant community of students and enthusiasts, including olympiad champions, researchers, and professionals.

Master advanced concepts through explanations,
examples, and problems from the community.

Learn from a vibrant community of students and enthusiasts,
including olympiad champions, researchers, and professionals.

Master advanced concepts through explanations,
examples, and problems from the community.

Learn from a vibrant community of students and enthusiasts,
including olympiad champions, researchers, and professionals.