I don't think they'll take over the world necessarily (that's a bit too sci-fi for my liking), but whether they'll end up being sentient beings is possible, by the looks of things...

I don`t they will... They cann`t, becouse the world wil be my!! Bugaga!!!

Probably...
If someone was stupid enough to program robots to kill human
beings and enslave them. But for now, it won't happen.

Currently no. We dont have the tech to do so. In the future there is that possiblity. Of course the only way that would happen is if robots where to develop a will of thier own and develop some sort of hatred towards humanity to actually want to take over the world. Now taking over the world wouldnt mean the end of the world like in the Terminator Movies. More like robots make us their slaves or something.

It would take a enormous amount of tech and time to do this; even then, by the time we get to that point I don't think it will matter much... you can't imagine what we will have a hundred.. two hundred... a thousand years from now you know.

Maybe everything will be like Minority Report =]

If we start using robots as replacement of people and send them to war in order of killing other people than we are doomed
But if we won't order robots to kill other people, or even to harm other people, than we are relatively safe from robots take-over :)
... and of course we cannot forget 3 main robotic rights (Asimov rules)
1. A robot may not injure a human being or, through inaction, allow a human being to come to harm.
2. A robot must obey any orders given to it by human beings, except where such orders would conflict with the First Law.
3. A robot must protect its own existence as long as such protection does not conflict with the First or Second Law.

as long as we stick to them... we are safe :)