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Win percentage

The win percentage is a weighted average of the outcomes of all your matches, with weights taken to be the size of the scenario played in the matches.

Suppose you have played n matches, in the formula below, i ranges from 1 to n.

win i=1..n matches function



win =

i=1..n [ size(i).outcome(i) ]
i=1..n [ size(i) ]

Recursive version of the formula

Define : wn - 1 and zn - 1 the win percent and sum of scenario size up to step n - 1 ; o and z the outcome and scenario size of the new match. Then at step n the win percentage is equal to :


wn =

zn - 1 wn - 1 + o z
zn - 1 + z