Showdown Equity For 10% Mid-Ranges
Join Date: Jan 2009
Posts: 5,029
Using Equilab's hand ranking, I determined the showdown equity vs a random hand for ranges, 0-10%, 10-20%, etc. It was nearly linear. The regression equation is
Eq = 0.6727 - 0.0032 * R
where R-=10, 20, 30 etc.
The R^2 was 97%. The largest deviation was in the 0-10% range, 68% vs estimated 64%. For all other ranges,the deviation was no greater than Abs(2%).
I realize I may be the only person on the planet who finds this useful.
Join Date: Jan 2009
Posts: 5,029
Because of the great interest in my showdown equity formula for hero range vs a random hand, I did the same for hero range vs a top 50% hand. The regression equation is more complicated but the fit is very good at R^2 = 98.6%.
Hero showdown equity = 0.6563 *X^(-0.305),
where X = 1 for 0-10% range, X=2 for 10-20% range, etc.