Perfection
How many times per 1,000 hands played in a heads-up single deck game with 50% penetration would one deviate from BS with...
1) Hi-Lo, I18
2) Computer-perfect play
Thanks
How many times per 1,000 hands played in a heads-up single deck game with 50% penetration would one deviate from BS with...
1) Hi-Lo, I18
2) Computer-perfect play
Thanks
If I had to put a ballpark figure on it,i'd say between 5-10% of the time a computer will deviate from basic strategy.
I added up the frequency occurances from Schlesinger's original article on the Illustrious 18 and came up with 0.2378. This was done on the fly and I could have pushed the wrong buttons on the calculator, but there it is. I believe the original article dealt with a four-deck game, but single deck numbers ought to be fairly close. One could use the numbers in Griffin's Theory of Blackjack, which were the original source for the raw data and apply the formula Don described in his Illustrious 18 article to come up with an exact figure.
... youi'd have to multiply the frequency percentage for each play times the frequency percentage for the count that requires the change in basic strategy. I don't have the time at the moment to do that.
The question is about "play all".
23% is a change in strategy decisions almost 1 out of every 4 hands. I use more indices than 18 and do not average near this.
As I said in the post, you would have to multiply the frequency distribution of the hands times the frequency distribution of the index numbers where you would change strategy.
