I have one!
A man has committed a crime. He goes to court. The judge says "There are two different marbles in this bag. One is white, and one is black. If he chooses the white one, he shall live. If he chooses the black one, he shall die. I will hold up the one he did not choose," showing everyone the bag. The judge lied and put two black ones in the bag instead of one white and one black. The man who committed the crime had seen before the prosecution had started that this had happened. How can the man save his life if either way he would choose a black marble? The rest of the courtroom did not know about the judge doing this.