Why do you believe that the computer would be unable to understand the subtleties? Computers aren't binary, they are capable of making many more calculations per second than any human could even come close to.
This is simply not true, in any meaningful way. Here's a quick summary from an interesting article on the subject:
"Biology is a beautiful thing, and life itself is much smarter than computers. For example, the brain is both hardware and software, whereas there is an inherent different in computers. The same interconnected areas, linked by billions of neurons and perhaps trillions of glial cells, can perceive, interpret, store, analyze, and redistribute at the same time. Computers, by their very definition and fundamental design, have some parts for processing and others for memory; the brain doesn’t make that separation, which makes it hugely efficient."
Full article here:
http://tinyurl.com/h3d2f9s There's no reason that a computer couldn't almost instantaneously figure out the exact correct course of action to minimize lives lost. People, on the other hand, often make the wrong choice in these types of situations.
You may trust it, I don't. This an article of faith with you. There's no scientific evidence that the computer would be better than a human at this. Every artificial intelligence program I've seen to date definitely places the emphasis on the word artificial and not intelligence.