Consider a random walker on a square lattice. At each step the walker moves to a...

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Consider a random walker on a square lattice. At each step the walker moves to a nearest neighbour site with equal probability for each of the four sites. The walker starts at the origin and takes 3 steps. The probability that during this walk no site is visited more than one is (a) 12/27 (b) 27/64 (c) 3/8 (d) 9/16 Consider a random walker on a square lattice. At each step the walker moves to a nearest neighbour site with equal probability for each of the four sites. The walker starts at the origin and takes 3 steps. The probability that during this walk no site is visited more than one is (a) 12/27 (b) 27/64 (c) 3/8 (d) 9/16

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