17 vs 12 or 19 vs 10?
There are 5 cards i don't want to see with 19 V 10, 4 faces one ace. There are 4 cards I don't want to see with 17 vs 12, 6, 7, 8, 9. I also feel like I'm in better shape if the dealer pulls an A, 2, 3 or 4 with 17 vs 12 than I am in the dealer pulls a 2, 3, 4, 5 or 6 with 19 v T. I don't know. Should be an easy ev calc I guess.
17 v 12:
4 cards are an instant win. 4 cards are an instant loss. 1 card is a push. 4 cards has the dealer in a worse situation. Each point total higher than 12 the dealer has to hit adds 1 to the number of dealer bust cards without changing the number of cards that are auto losers. So negating pushes you start winning 4 of 8 and get better each extra card that is drawn (5 of 12).
19 V T:
5 cards are instant losers. 2 cards are instant winners. 1 card is a push. 5 cards have the dealer drawing on a stiff. Each stiff draw has 2 losers and at least 4 winners and 1 push. So if you negate pushes you expect lose 2 of 7 on the next card and win most of the time on the stiff draws 5 of 12 cards.
Last edited by Three; 02-23-2015 at 07:19 PM.
17v12 negating pushes:
1/3 win
1/3 lose
1/3 dealer hitting one of the below stiffs:
13:
5/12 win, 1/3 lose, 1/4 hitting one of the below stiffs:
14:
1/2 win, 1/3 lose, 1/6 hitting one of the below stiffs:
15:
7/12 win, 1/3 lose, 1/12 hitting the below stiff:
16:
2/3 win, 1/3 lose
It seems obvious this slightly favors a win as it is 50/50 on a one card decision and favors a win on every stiff hand.
19vT negating pushes:
1/6 win
5/12 lose
5/12 hitting one of the below stiffs:
12:
1/2 win, 1/6 lose, 1/3 hitting one of the below stiffs:
13:
7/12 win, 1/6 lose, 1/4 hitting one of the below stiffs:
14:
2/3 win, 1/6 lose, 1/6 hitting one of the below stiffs:
15:
3/4 win, 1/6 lose, 1/12 hitting the below stiff:
16:
5/6 win, 1/6 lose
THis one is close to a coin flip slightly favoring a loss roughing it out from the above info. CDA confirm with 8 deck ENHC off the top EV of -1.81% for T,7,2vT. If the dealer peeked for BJ the 19vT would have an EV of +6.459 and I would still not be sure which would be the right decision. My guess is still 17v2 as it doesn't look that close but it isn't a cut and dried choice anymore.
Definitely 17v12 as the better matchup for the OP.
I don't have EV charts for known hole card situations (does this even exist?). I'm constructing the EV hit and EV double from this chart: http://wizardofodds.com/games/blackjack/appendix/2b/
EDIT: I transposed my numbers.
With a nineteen, I have the dealer winning 45.2002%, player winning 43.6299%. So, EV Hit=-1.57%
17 v. 12 is a winner, 19 v. 10 (unchecked) is a loser. So stand.
Last edited by moo321; 02-24-2015 at 06:27 AM.
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