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Random walk

Hi

I would appreciate if you could help me with this question. Is the question below TRUE or FALSE and explain why ?

Question:

I have two random walks, both starting at 0 and with a reflecting boundary at 0. Each Step, Walk A goes up 1 with probability 1/2 and down 1 with probability 1/2(except at the boundary). Each step, Walk B goes up 1 with probability 1/3 and down 1 with probability 2/3. The average time for Walk A to reach 1000 is less than the average time for Walk B to reach 100.

Solution Summary

This shows how to determine if a statement regarding a random walk is true or false.

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