An academic department with five faculty members narrowedits choice for department head

Chapter 2, Problem 36

(choose chapter or problem)

An academic department with five faculty members narrowedits choice for department head to either candidate Aor candidate B. Each member then voted on a slip of paperfor one of the candidates. Suppose there are actually threevotes for A and two for B. If the slips are selected for tallyingin random order, what is the probability that A remainsahead of B throughout the vote count (e.g., this event occursif the selected ordering is AABAB, but not for ABBAA)?

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