Yes self driving car will have these problems and it is not an easy task to decide who to kill (crash into) and who to spare. As you said some smart people are trying to figure out a solution for this.
If you want to try this by yourself I highly reccomend you the http://moralmachine.mit.edu/ where you can decide for yourself who to kill and who to spare and I can tell you. It is really difficult to do so.
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These questions certainly are very difficult. That is why it's taking so much brainpower behind them to try and find the right ones. (If there are even right ones for these.)