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A drunk person wonders aimlessly along a path by going forward 1 step or backward 1 step with equal probabilities of . After 10 steps,

A drunk person wonders aimlessly along a path by going forward 1 step or backward 1 step with equal probabilities of . After 10 steps, what is the probability that he has moved 2 steps forward? What is the probability that he will make it to his front door within 20 steps before he collapses with the door being 6 steps in front of him?

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