Dec
In addition, the casinos offer a bet on “ties”. Tie is the case when The Player and The Banker hands have the same total. This bet gains 9 times the amount bet, otherwise the bet is lost. The probability of a tie is 9.5156%, therefore the expectation of the bet is -4.884%. It is obvious that the probability hence the expectation of a tie depends on the subset of not played cards. Based on computer simulations, there was selected random subset of different sizes from a complete 416 pack of cards (8 decks). The result is quite disappointing from the money making point of view. The advantages from the knowledge of the used cards are limited to the extreme end of the pack they are not large. The card counting strategies, which are very practical, are marginal and precarious because they are easily eliminated simply by shuffling the deck with 26 remaining cards.
