What is the probability that charmander beats squirtle

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Problem: Each time the trainer visits the left end of the field (the vertex 0), a wild Caterpie attacks and Charmander beats it. If the trainer is at the right end of the field (at vertex 7), their rival attacks them with a Squirtle. To beat Squirtle, Charmander needs to train on Caterpies: it beats Squirtle if and only if it has beaten $\geq 3$ Caterpies before. What is the probability that Charmander beats Squirtle if the trainer starts at 2?

Reference no: EM133693573

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