Probability Blackjack Hands

Probability Blackjack Hands Rating: 3,5/5 7311 votes

Probability of getting 17 points from the first two cards is P = 16/221 = 7.23981% in the case of a 1-deck game and P = 96/1339 = 7.16952% in the case of a 2-deck game. A good initial hand (which you can stay with) could be a blackjack or a hand of 20, 19 or 18 points. It won’t happen overnight, but if you stick with it, eventually you’ll know these blackjack charts better than you know the back of your hand. Next Steps: Once you’ve memorized the basic strategy chart perfectly, you will also need to learn at what count indexes you need to deviate from the basic strategy chart.

Losing
railer
Hello.
I would like to know the probabilities of receiving certain Multi-card hands. (ie. 11, 10, 9, and 21). The calculations aren't that straightforward because a hand like 2,2 v. 6 will be split before it can be hit again.
Maybe the answer is published somewhere?
Thanks!
Blackjack hand chartDogHand
Thanks for this post from:
Hands
railer,
Do you have a particular rule set in mind: number of decks, S17/H17, DAS/NoDAS, LS/No LS?
Do you want only hard totals, of do you also want to count soft totals?
Also, you do realize that the results involve some overlap: a 9 can turn into an 11, for example.
I believe the answers can be found by simulation using CVData.
Dog Hand
railer

Probability Poker Hands

Thanks, DogHand.
The game allows doubling on multiple card hands, so that's what I'd like to evaluate.
The particular game is 6deck, H17, DAS, No LS.
Soft totals would be great.
Regarding overlap...The totals I want are the doubling hands....9, 10, only the 11 is an issue, not a big deal. For soft hands the probability of any 3 card Soft Total (that hasn't been doubled or split already) is good enough.
The probability of all multi-card 21s would help too.
Thanks, DH!

Best Blackjack Hands

DogHand
railer,
While not precisely what you requested, here is the output from Eric Farmer's excellent blackjack7 program for this game:

Hope this helps!
Dog Hand
railer

Probability Blackjack Hands Meaning

Very useful! Thanks a lot!