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Bye Score and Bye Balance

Posted By: Tom Keith
Date: Saturday, 24 July 2010, at 2:34 p.m.

In Response To: Bye Score and Bye Balance (Casper van der Tak)

Random assignment of byes.

For the sake of illustration, let's say that half the players get a bye each time.

After 1 tournament, each player is 1/2 away from the "correct" number of byes.
After 2 tournaments, players are 1/2 away from the "correct" number of byes (on average).
After 3 tournaments, players are 3/4 away from the "correct" number of byes (on average).
After 4 tournaments, players are 3/4 away from the "correct" number of byes (on average).
After 5 tournaments, players are 15/16 away on average.
After 6 tournaments, players are 15/16 away on average.
After 7 tournaments, players are 35/32 away on average.
After 8 tournaments, players are 35/32 away on average, etc.

It gets worse and worse over time.

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