Another experiment gave participants three options: keep the 5 dollars, give away the 5 dollars and trust the other person to share, or give the 5 dollars to the other person with the understanding that she would flip a coin
to determine who would get the money.
It's not enough to flip a coin and then coincidentally do what the coin says to do.
If Batman were to flip a coin to decide whether to save the larger or the smaller group, he would diminish each person's chance of survival to one-half.
If Batman is to follow EGC, at 1:00 he must flip a coin to decide which box to check, since that gives each hostage an equal greatest chance of survival.
5) The point here is not merely that Batman should not flip a coin at 1:00.
If Lawlor is right, then in a version of the Batman case in which there are 2,000,001 people involved, to be divided into a group of 1,000,000 and a group of 1,000,001, Batman should, at noon, choose to save the larger group, and at 1:00, flip a coin.
Imagine the three of them begging Batman to choose the greater number, and imagine Batman replying: "I'm morally obligated to show respect to all of you as rational beings, and this requires me to flip a coin.
In the interest of preempting bad objections, we might again appeal to a Scanlonian principle, and point out that if Carol were to lodge a complaint against Batman, insisting that he flip a coin or spin a wheel of fortune at 1:00, she would be unreasonable.