I have some valuables in my home but nothing worth risking my life over. Likewise if I was walking down the street and robbed at gunpoint or driving in my car.
What I can I, in the situation of being subject to an armed robbery, do to increase my chances of not getting killed?
Disagree. Your chances of survivability go up significantly by not resisting - see @Corporal_Punishment’s reply.
First, I don’t trust the police.
Complying might be the best option in a number of scenarios but like I originally said every situation is going to be different. We can easily game out situations where complying would be the worst option for survival.
The question is pretty absurd. Even if, on the whole complying would increase survival in an “armed robbery” situation, it really isn’t actionable advice.
Fine, then check any reasonable statistical study that you might trust. Resisting a violent robbery will significantly increase the chance you you get seriously injured or killed.
The question struck me as an intrusive thought they couldn’t outright dismiss, so gaming it out helps them to get it out of their head.