Poker-AI.org

Hi, i'm looking at Michael Johanson thesis where he explains the E[HS2] metric.
poker.cs.ualberta.ca/publications/johanson.msc.pdf
Specifically on page 25 he writes:
E[HS2](b)=(0.2^2+0.8^2)/2=0.68 but that's wrong !
It's =0.34
So what's the correct formula ?
If the result is not bigger than 0.5 then it doesn't prove his point:
E[HS2] considers the hand with higher potential to be more similar to hands with high hand strength.

The formula is correct, and his point is made, even though his arithmetic is wrong.

a = (0.4,0.6)
b = (0.2,0.8)

ehs(a) = 0.5
ehs(b) = 0.5

ehs2(a) = 0.26
ehs2(b) = 0.34

ehs2 ranks high potential hands higher than low potential hands even when average strength (ehs) is the same.

Oh thanks a lot spears, it makes sense now!