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Problems dealing with various probabilities, be it coin tossing or game winning.
In the rally point scoring method now widely adopted in volleyball, either team can score a point by winning the rally after a serve, regardless of who serves the ball. The first team to earn 25 points wins the set, except that a team must win by at least two points — that is, if the score is 24-24, then the final score must be 26-24, 27-25, 28-26, etc.

Assume two evenly matched teams are playing each other.

To at least four significant figures, what is the expected number of rallies (total points scored) per set?

(No Solution Yet, 1 Comments) Submitted on 2024-12-20 by K Sengupta   
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