The problem with Program A is that if you choose that path, then you have to choose which 200 make it, a politically untenable problem. Go for all or nothing and it is much easier to convince people you tried and lost, (if you do) rather than playing favorites.
That's not really the premise of the problem, Craig. No one is going to decide who lives or who dies. In Program A, a random 200 people will be saved. In Program B, either a random selection of 600 people will die, or no one will die.
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