As APs we know that we have an advantage by counting cards. How much we win depends on how long we play. From the theory of card counting we know that when the count turns positive the probability of our overall win is still 42.42%, lose of 49.10% and tie 8.49%. With a positive count we are more successful with the splits, double downs and blackjacks. Also, dealer bust rate increases. Surrender and insurance is more valuable to the players at positive counts.
If the overall probability of win, lose and tie don't change when we are counting cards why do we have a greater probability of being ahead? In Modern Blackjack and Blackjack Attack it shows that our probability of being ahead exceeds the overall probability of our loses (49.10%). So where did the win come from?
http://www.qfit.com/book/ModernBlackjackPage415.htm
http://www.qfit.com/book/ModernBlackjackPage416.htm
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