"I need to make 10 paperclips, and then shut down. My capabilities for determining if I've correctly manufactured 10 paperclips are limited; but the goal imposes no penalties for taking more time to manufacture the paperclips, or using more resources in preparation. If I try to take over this planet, there is a significant chance humanity will stop me. OTOH, I'm in the presence of individual humans right now, and one of them may stop my current feeble self anyway for their own reasons, if I just tried to manufacture paperclips right away; the total probability of that happening is higher than that of my takeover failing."

You then get a standard takeover and infrastructure profusion. A long time later, as negentropy starts to run low, a hyper-redundant and -reliable paperclip factory, surrounded by layers of exotic armor and defenses, and its own design checked and re-checked many times, will produce exactly 10 paperclips before it and the AI shut down forever.

The part about the probabilities coming out this way is not guaranteed, of course. But they might, and the chances will be higher the more powerful your AI starts out as.