Being that you are playing against other players in a blackjack tournament, your bankroll becomes very important. This is because advancement to the next round is based on who has the largest bankroll at the end of a blackjack tournament round. And ultimately the winner of a blackjack tournament is determined by the size of their bankroll.
So it is an understatement to say that your bankroll is just as important as your blackjack strategy in a tournament.
It does not matter whether it is a blackjack tournament that you have paid an entry fee to and are playing with that money, or whether you are playing with the nonnegotiable chips of a tournament. Your bankroll is just as important as your blackjack strategy.
That being said, let