Doubling Formulae for Money Games

**Formula A**

A formula to convert cubeless equity (E) into actual equity (X) when opponent owns the cube:
X = 2 * ((((E + 1) / 2) -.14) / .86) -1

Ex.  E = .570
X = 2 * ((((.57 + 1) / 2) -.14) / .86) -1 = 0.500



**Formula B**

A formula to convert cubeless equity (E) into actual equity (Y) when the cube is in the center:
Y = 2 * ((((E + 1) / 2) - .165) / .67) - 1

Ex.  E = .570
Y = 2 * ((((.57 + 1) / 2) - .165) / .67) - 1 = 0.851



*cubeless equity (E) > .570*

the cost of failing to double:
2*X - 1

Ex.  E = .600
2 * .535 - 1 = 0.070



*cubeless equity (E) < .390*

the cost of doubling:
Y-2*X

Ex.  E = .360
.537 - 2*.256 = 0.026



Based on "Doubling Theory" -- Kit Woolsey
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