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11.5.5.1 Basic formula for cubeful equities

The basic formula for cubeful equities as derived by Janowski is

E(cubeful) = E(dead) * (1-x) + E(live) * x,

where E(dead) is the dead cube equity (cubeless equity) calculated from the standard formula. E(live) is the cubeful equity assuming a fully live cube. We'll return to that in the next section. x is the cube efficiency. x=0 gives E(cubeful)=E(dead) as one extreme and x=1 gives E(cubeful)=E(live) as the other extreme. In reality x is somewhere in between, which typical values around 0.6 - 0.8.

Janowski's article doesn't mention cubeful equities, so we use the straightforward generalization

MWC(cubeful) = MWC(dead) * (1-x) + MWC(live) * x.

as MWC is the entity that is used for match play evaluations.