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The prisoner's dilemma: A prisoner was to be executed and he begged the king for mercy. The king decided to give the prisoner a chance. He gave the prisoner 3 white balls and 3 black balls, all identical in shape. The prisoner was supposed to distribute these balls into two identical bags in any way he liked and then pick one bag at random and draw one ball at random from that bag. His life would be spared if the ball drawn was a white ball. Find the best way to distribute the balls