Quote:
Originally Posted by thecantonkid
Hi Mason,
I think this is best summed up as "All roads lead to Rome" or "There´s more than one way to skin a cat".
While I prefer the KISS method: We win 75% plus (29%)(25%) = 82,25% or alternately, Villain wins (71%)(25%) = 17,75%, it seems that the author comes up with a slightly more complex equation, which nevertheless, arrives at the same answer of 82,28%.
It looks like he may have a slightly different interpretation as to what FE is.
I´ve input different numbers into the equation and we always reach the same answer, whether we use the simple method or the author´s method.
Hi Kid:
I've been fooling around with these equations and think you might be right. The easy equation for total equity is
.75 + (.29)(.25) = 0.8225
Put in algebra the left side is
FP + (Eq)(PP)
where FP is folding percentage, Eq is playing equity, and PP is playing percentage. Now
FP +(Eq)(PP) =
(1-PP) + (Eq)(PP) =
(1-PP) + (Eq)(PP) + Eq - Eq = [Notice that Eq -Eq is zero.]
1- Eq - PP + (PP)(Eq) + Eq =
(1-PP)(1-Eq) + Eq =
(FP)(FE) +Eq, and [Notice that FE is Folding Equity]
(FP)(FE) + Eq in this case is
(.75)(.71) +.29 = .53 +.29 = 0.8225
So the author's equation is correct.
Best wishes,
Mason