#1




2 deck, perfect play blackjack
If you used computer simulations to make all the correct decisions in 2 deck blackjack (all the correct decisions would obviously be based on what's left in the shoe, because computers can keep track of 13 counts.. penetration almost all the way to the end of the second shoe every time. What kind of advantages would this computer simulation present? 54%? 55%?

#2




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Imagine we were down to the last ten cards in the shoe and there were 6 high cards and 4 low cards remaining, your advantage would be quite high at the end. If there were 10 cards remaining and the computer knew that 6 were tens, and the low cards were 8, 6, 5, 3, it would be easy for the computer to calculate all the possible hands and the correct odds for each. You would have a 60% chance of catching a ten on your first card, and a 56% chance of catching another ten on your second card, for a 34% chance of making a twenty. Of course, the dealer has the same chance, plus the fact that the dealer may also make a perfect hand in two ways, ten/8/3 and ten/6/5, not that these are not also available to you. Some cases would be way lopsided in your favor, such as when there are five aces and 5 tens remaining. Chances are you will not be unfortunate enough to split aces and receive hits of two aces. BTW, if you get two tens, and the dealer has a ten showing, it would be a good time to split tens, and keep splitting them until you no longer can, since only twentyone can win that hand. I have no idea what the simulation would show overall, but it should be pretty healthy. 
#3




Would like some advice on 2 deck games!I never heard of a book talking about 2 deck games in depth.Since playing decision is so important and it is only single deck that get all the attention .I think 2deck games sort of got stuck in the middle between sd and 6 decks.There is not a lot of info that help us to play the game.The playing decision of 16 vs 10 and 15 vs 10 ,3 card 16 vs 9 ,15 vs 9 are so important .Just relying on basic strategy does not seem to be enough even with the help of index play with hi lo (since thats what i use)How many 4,5 needs to be played out or not play out to change a decision of hit/stand? Would the "Theory of Blackjack" help me to make a few adjustment for my use with the understanding of E.O.R. for 4,5 maybe ??Is there a more accurate way of playing insurance rather than just using hi lo 's insurance index of 2.4 in 2 deck/,but without going to "ten count" or "VIP COUNT" for insurance. I am obviously quite confuse of what to do in 2 deck since there is not a lot of info on it!I better stop typing because i m more lost than i was originally!!!!

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#5




There you go, guitarhero; sounds like someone actually simmed it. As for the explanation, we'll have to wait for the math gurus to weigh in.

#6




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The plot is a combination of simulation and combinatorial analysis: the blue points result from simulation of headsup play through 1000 shuffled shoes; each point is the expected return for a corresponding depleted shoe, assuming "perfect" play optimized for that depleted shoe. The red curves are 10, 20, 30, ..., 90th percentile curves of the blue points. So, for example, even at 80% penetration (only about 20 cards left), 90% of the time your EV is less than 9%. Hope this helps, Eric 
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#8




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__________________
Everything in Moderation 
#9




The data were generated using my blackjack CA (see here: https://sites.google.com/site/erfarmer/), with a wrapper to automate the Monte Carlo trips through the 1000 shoes. I made the plot using Mathematica.

#10




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