Another Hat Problem

The evil king had trapped more tourists, and was offering them another challenge. "There are ten of you, and as you see I have a large assortment of black and white hats. I will blindfold you and put a hat on you. Then, starting from the last person in line, he will predict how many hats of white there are, including his own. Afterward, I will instantly kill any person guessed wrong, You have three minutes to formulate a strategy."

The tourists meet up, and they design a plan. However, the plan ensures that at least one person will die. At least how many other people have to die?