Assignment:
A prison has 20 balls, 10 black and 10 white. The prisoner is to arrange the balls in 2 boxes. All of the balls must be used and there must be at least one ball in each box. An executioner will select one box at random and then one ball at random from the chosen box. The prisoner is set free if the ball is white and executed if the ball is black. How should the prisoner arrange the balls in the boxes to maximize his/her chance of being set free?
Provide complete and step by step solution for the question and show calculations and use formulas.