Originally Posted by
k_c
CDZ+ means making each post split decision considering all removals at the time of the decision.
For SPL1 there are 2 hands, each with its own EV. hand1EV is simply the optimal EV of drawing to the first pair card allowing for one pair
card removed. This is what is done to compute CDP1. For CDP1, EVx = optimal EV of first split hand and EV(CDP1) for SPL1 = 2*EVx where
strategy for hand2 is the same as strategy for hand1. For CDZ+, hand2EV and strategy for one allowed split is variable depending upon what
has been drawn to hand1 as well as what is currently drawn to hand2.
*Here are some things I do to compute hand2:
1. In the course of computing hand1 I use busted as well as unbusted hands. Busted hand1 hands have no effect on hand1EV and strategy but do
effect hand2.
2. For each hand1 composition I compute a parameter I call h2EVX. h2EVx is the optimal hand2EV
for that particular hand1 comp. To compute h2EVx only unbusted hands need to be considered because for SPL1
no more split hands follow. I do not save this set of hand2 hands, only the h2EVx parameter for this hand1 comp.
3. I have parameters I call h2EVx_stand, h2EVx_double, and h2EVx_hit which depend on hand1 strategy. h2EVx_stand = h2EVx because no cards are
drawn for the hand1 comp being referenced. hand2EV is computed while going through all hand1 hands using above values. If by some quirk of
fate strategy of all hand1 hands is stand then hand2EV would equal hand1EV.
I'm sure there's room for improvement.
- This is what I get for the sample shoe comp -
Shoe composition: {0,0,0,0,0,11,0,5,0,0}
Split EV for 6-6 (SPL1), S17, DAS:
** versus 6 **
hand1EV = -0.0069930069930069488
hand2EV = 0.028749028749028734
hand1EV + hand2EV = 0.0217560217560217852 = CDZ+(single split)
** versus 8 **
hand1EV = 0.51748251748251750
hand2EV = 0.52307692307692299
hand1EV + hand2EV = 1.04055944055944049 = CDZ+(single split)
k_c
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