About Mini-Max Strategy:
First of all, no matter how profitable the system used by the player is, it takes effect in the long term only, while in the short term,
blackjack remains a game of luck, where everything is possible. Therefore, betting the maximum limit may cause the player to run out of his bankroll very easily.
The second imperfection of Mini-Max Blackjack strategy is the fact that betting only the minimum and the maximum bets is quite a noticeable pattern. As it is well known,
casinos do not like skilled players and for a card counter it is more than unadvisable to attract the casino personnel's attention to his game. Those of you who do not believe that casinos bar advantage players, go and try to perform card counting overtly in any casino and you will find yourself out of there very quickly.
What is the Solution for these Weaknesses?
As for the first clause, a number of schemes exist to adapt the betting to the bankroll. The most simple of them says that the maximum bet in a game of Blackjack must not exceed 2% of total initial bankroll. It is very well, but we still need to try and follow the principle of Mini-Max Blackjack strategy, which means that there must be a significant difference between the minimum and the maximum bet. To give a player any perceptible advantage, the minimum bet must differ from the maximum one at least four times. As a result of a simple computation, we see that the bankroll of the player must exceed his minimum bet at least in 200 times.
Avoiding the Casino:
We still have to avoid being barred by the casino when using the Mini-Max betting system. The solution to this problem is to vary both the minimum and the maximum bets to both sides. It is desirable to make the variation come to the planned average, but following a very strict system makes the process too complicated, and once again, can attract the attention of floor personnel. A small error will not break the strategy, so feel free to vary your bets randomly. However, this solution does not allow the player to count on the minimum table limit. He needs to vary his bet to the lower side too, and therefore the base of his minimum bet must be a bit higher than the table minimum.
Example: Playing at a table with 5 dollars minimum limit, it is advisable to take 10 dollars as the base of the minimum bet and to vary it from 5 to 15 dollars. According to the proportion we calculated earlier, the bankroll of such player must be at least 2,000 dollars, and the maximum bet must vary around 40 dollars (can be 35 to 45 dollars). So it is not worth playing at a 5 dollars minimum limit table unless you have at least 2,000 dollars bankroll. If you do not have such a bankroll, do not rely on your luck. Either find a table with a lower limit or do not play at all until you have enough money.