Probability theory
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A person starts out from a tree in the middle of a street, taking steps of equal length either to the left or to the right with equal probability. What is the probability that the person will again be at the same tree after taking N steps?
a) If N is even?
b) If N is odd?
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This solution the steps to determine the probability in the given word question.
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(a) N = 2k is even.
If the person comes back to the same tree after N = 2k steps, then he must take k steps to the left and k steps to
the right. For each step, there is equal probability for ...
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