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An ant is moving on an integer-numbered, horizontal line every second. The number ranges from −∞...

An ant is moving on an integer-numbered, horizontal line every second. The number ranges from −∞ to −∞. It moves to the left integer with a probability of 1/4, to the right integer with a probability of 1/2, and stays where it is with a probability of 1/4. Suppose that the ant starts at -1, 0, or 1 with equal probability at time t. Then, what is the probability the ant will be at 0 at time t + 1?

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