A rat is performing a random walk along the number line as follows. His original position is x
= 0. He takes a step forward or a step backward with equal probability. For example, if he is
at x = 1, he can go to x = 2 or x = 0 with equal probability.
His home is at x = 3, while there is a trap at x = –2. What is the probability that he’ll reach
home before getting trapped?
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