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MathNet 2010 — Part 07 Question 130

Math Olympiad Vault · MathNet 2010 — Part 07

Question 130

An ant starts at the point $(1,0)$. Each minute, it walks from its current position to one of the four adjacent lattice points until it reaches a point $(x, y)$ with $|x|+|y| \geq 2$. What is the probability that the ant ends at the point $(1,1)$?