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I am trying to solve this question by using the reflection principles.

Let a>c>0 and b>0.

A is the set of all paths of a random walk which end at c in their final n’th step.

B is the set of paths from A which first hit a and then -b.

C is the set of paths from A which first hit a and then avoid completely -b.

D is the set of paths from A which avoid –b completely before hitting a for the first time.

Write out properly in mathematical notation the sets A, B, C and Find their respective probabilities in terms of a, b, c and n..

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    $\begingroup$ please label as self-study and edit your question to specify your working so far and what precisely you are stuck on. $\endgroup$
    – seanv507
    Jun 12 at 22:11
  • $\begingroup$ Is this a question from a course or textbook? If so, please add the self-study tag & read its wiki. $\endgroup$ Jun 13 at 13:06

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