Recent content by k_c

The first thing that needs clarification is the way Thorp defined his HiLo indexes (aka indices.) His indexes are defined as TC per card * 100 instead of TC per deck. In order to convert from TC per card to TC per deck just multiply by 52/100. The second thing that could use clarification is...

If I understand correctly you are enumerating the number of possible card combinations that could possibly lead to an outcome for any player strategy for a round of blackjack for 1 player versus dealer. For what it's worth there are 3072 possible unbusted player hands of 2 or more cards. If...

I gathered that your data in fact computed pre-deal EV for all compositions. All I was suggesting was to parse the values by however many cards have been dealt by averaging pre-deal EV of the number of data points at each pen level. Since the game is dealt heads up, one player versus dealer, the...

Well, what I was thinking was a graph of computed pre-deal EV versus pen might not require a great deal of data to see a trend. After all we're dealing with computed values and that's as long term as it gets. The only variable is the simmed shoe compositions at he beginning of each round. I...

I ran 2 sims in which player uses optimal strategy for the current composition. The only decision that is possibly not optimal is the decision of splitting but in the great majority of cases, if not all cases, the best decision will have been made. (Split EV is figured as playing the first split...

Eric, is it possible for you to organize your data to display 2 plots representing average expected value at each penetration and average actual result of playing each hand with the best decisions? In other words you would be contrasting what has happened short term with what is expected long...

More pen = more value Last year I wrote a .dll (.dll = Windows "dynamic link library") version of my composition dependent program that includes the ability to run sims either playing by using cd basic strategy or playing by computing what is best for the present shoe composition. If...

There's a bug in the website program. For a single deck standing on a blackjack versus a ten should display 140.8% and versus an ace 104.1%. The desktop version displays this correctly. When ENHC is checked the display is the same whether or not dealer checks for blackjack because for ENHC it...

I wrote an algorithm with the goal of computing split EVs that are a little better at approximating optimal split EVs. In computing splits there are 3 types of hands that come from drawing to a one or more single pair cards. When splits remain there are 2 types - N when a non-pair card is drawn...

It's mind boggling to think about and I have no desire to try and figure it out exactly but it's conceivable that the optimal strategy decision of any card combination in the first hand is dependent upon the net sum of optimizing the second hand. After all it's combinatorial analysis which...

In my opinion the theoretically most thorough method to get optimal split EVs would be to treat each split hand as covariable with all of the others. I actually started a program that would do this for 1 allowed split that would work similarly to my present CA, except it would store far more...

I think we're on the same page. The attached image is of a program I wrote in Excel that demonstates how I compute splits. You probably get multipliers mathematically whereas I do it programmatically. I don't think I know enough math to do it that way. I think we agree on the end result though...

Your program's EVs for the input composition/rules, 10-10 v 7 are a little different using version 7 of your program as compared to version 8. However, these EVs are greater than either CDP1 or CDP in every case. This is understandable since you are computing with a more optimal method so...

Comparison of CDP1 and CDP I input a composition of {1,1,1,1,1,1,1,1,1,12} (1-10) and computed 3 splits, DAS, player hand of 10-10 for CDP1 and CDP. I was expecting to see either equal or more optimal EVs for CDP but it appears this isn't the case. I can't explain why unless maybe all splits...

Checking MGP's CA shows that my second set of EVs match what he defines as CDP. Evidently CDPN is a still a little more optimal yet.