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?
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