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Should you accept killing the innocent to stop future crimes of evil?

On the television science fiction drama "Extant", an android is asked to respond to the following scenario, which I have fleshed out a little from the script on the show. A known terrorist, of well documented acts of mass murder numbering in the thousands, has been located hiding in a school house in a remote location. A drone strike will kill the terrorist, preventing possible future acts of mass murder. The strike will also kill a dozen innocent school children. When asked if she would execute the drone strike, the android without hesitation, says "yes". I have heard others, who are real humans, claim they would make similar choices: if the possibility of stopping future evil is sufficiently large, they would harm or kill a few innocents for that objective. Problem is that this is not only a morally questionable action, it is illogical as well. Hence an perfectly logical android would not have said "yes". Of course, the fictional scenario does not in