You seem to be only considering the scenario where you get two 21's and the dealer beats you with a blackjack. What about the other scenarios where
1) you draw a 10 -> 12 vs dealer's ace. You draw 1 more card and then bust before the dealer does anything.
2) you draw a 6,7 -> 15 vs dealer's ace. You draw 1 more card and bust before the dealer does anything.
You faith in the strategy of not splitting Ace's is very strong. It will take a string of sucessive failures to shake this faith.
My faith in not splitting ACE only applies when Dealer has an ACE. Because When Dealer has an ACE, he has 10,J,Q,K he gets blackjack.
When you split your AAs and have 10,J,Q,K, you exposed 1 bet into 2 bets, and dealer can still makan your bets because you do not have blackjack, you only have 21.
Dealer
having ACE as 1st card is the strongest card he can get. He seldom bust.
Dealer draw
A,2=3/13
A,3=4/14
A,4=5/15
A,5=6/16
A,6=17
A,7=18
A,8=19
A,9=20
A,10=21 Blackjack
A,J=21 Blackjack
A,Q=21 Blackjack
A,K=21 Blackjack
Only 4 scenarios allow Dealer to bust when he has A2, A3, A4, A5 and the only most dangerous scenario is A5. He will not even bust if he gets
A2+A,2,3,4,5,6,7,8,9,10,J,Q,K
A3+A,2,3,4,5,6,7,8,9,10,J,Q,K
A4+A,2,3,4,5,6,7,8,9,10,J,Q,K
A5+A,2,3,4,5,6,7,8,9,10,J,Q,K
Next thing is when you split your AAs
Player can only draw one more card for their split AAs. No resplitting is allowed if the 1st AAs is splitted.
Player draw
A,A=12
A,2=13
A,3=14
A,4=15
A,5=16
A,6=17
A,7=18
A,8=19
A,9=20
A,10=21 non Blackjack
A,J=21 non Blackjack
A,Q=21 non Blackjack
A,K=21 non Blackjack
WEAKNESS OF SPLITTING ACES
-Player can only draw 1 card for each ACE.
-Having 21 is not considered blackjack
-Dealer has 30.76% of getting blackjack
The large number of scenarios in blackjack make it next to impossible to use conditional probability techniques to analyse the outcomes. You would need to use Monte Carlo simulation where you program in the rules to run the simulation to derive numbers like 0.94% for the house edge.
So my next question is how does this so called Monte Carlo simulation works to derive 0.94%?
The funny question is why are none of the materials explaining on how they derive the figure?
Some results (e.g. standard blackjack rules with prob 0.80) are very well documented as there are peer reviewed academic journals (i.e. 1 professor writes it and another professor independently checks to confirm the result is accurate).
For more obscure results (e.g. edge for Simplified Blackjack), you have to rely on the person who published it. If you don't believe him, then you of course write your own simulation to confirm his results. The wizard of odds site is one of the more credile gambling stats sites but he does occasionally mistakes. When these are spotted by others, he usually posts the correction up.
You really good, now bring out professor. :p Which are the articles reviewed by these professors and I believe they will explain how they derive at these statistics.
Why do I keep emphasizing on how the figures are derived because I see some of you have a habit of quoting articles and believing in their stats and probabilities
without understanding how the figures are being derived.
-The most common one. Professor reviewed verified
-strategy xx%, advantage xx% and then when I asked how this % is being derived, some sort of simulation source is being quoted and said the % comes from there.
To convince a layman, probably such articles can work. Oh so and so article listed 40%, so I must believe its 40%.
But to convince everyone here, there must be explanations on how such figures are derived