Just for the record - I have the utmost regard and respect for Don. His works are masterful and required for any serious player. I admire his absolute brilliance, noting that it exceeds my own. Catching him in a typo is cause for jocularity and celebration. Beating him in a math argument would be a crowning glory.
One way to calculate this is to do it manually with a CA, but it'd be a pain in the ass.
Remove the split card and look at the EV for each 2 card hand with the split card as one of them against a given upcard. So for example if the split card is 4, remove a 4 from the deck and look at the EV for a4, 24, 34, 44, ..., T4 and take the weighted EVs of the standing on each hand (with my CA you would just need to click the cell for the hand vs upcard to get the prob and ev). If 2*EV of standing is > the original strategy EV for the pair then double for that split card/upcard combo.
To calculate the final EV then you would simply add the difference in the EV for each hand that you double after split from the original strategy on weighted by the probs of the relevant pair/upcard combos.
Hope that helps.
8 deck, S17, DAS, DOA, ENHC, NoSurr, RS2, RSA2 and for a specific hand (9,9) vs 9 :-
1) STAND, EV= -18.470%
2) SPLIT and draw a 2nd card, DOUBLE if you draw a 2(standard rule), EV = -9.471%
3) SPLIT and draw a 2nd card, HIT until 17 or more(not allow to DOUBLE after you draw a 2nd card, ugaman007's odd rule), EV = -10.530%
4) SPLIT and BEFORE draw a 2nd card, DOUBLE on single card 9(ugaman007's odd rule), EV = -60.316%
These can be repeated for any other hands and hence complete BS can be determined for that odd rule.
Double on a single card(after split) = NDAS + STAND + 1 additional unit bet.
Results obtained by simulations
Last edited by James989; 09-18-2018 at 06:12 AM.
Your game base rule : CSM, 8 deck, S17, DOA, ENHC, NoSurr, RS2, RSA2 :-
1) If DAS(standard rule, allow Double for split 2 card hand), the house edge = -0.599%
For example, 9,9 vs 5, split and receive 1 new card for each hand to form 9,2 vs 5 and 9,T vs 5, then Double for 1st hand and STAND for 2nd hand .
2) If NDAS(standard rule, not allow Double for split 2 card hand), the house edge = -0.724%
For example, 9,9 vs 5, split and receive 1 new card for each hand to form 9,2 vs 5 and 9,T vs 5, then NO Double but HIT for 1st hand and STAND for 2nd hand.
3) If NDAS(not allow Double for split 2 card hand) but allow Double on split single card hand(with proper strategy), the house edge = will surprise you !
For example, 9,9 vs 5, split and BEFORE receive a new card for each hand, Double on a single 9 vs 5 for both hand.
All results obtained by simulations.
Contact me to discuss further : [email protected]
DAS.jpgNDAS.jpg
Last edited by James989; 09-19-2018 at 12:42 AM.
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