A black hole bends space so tightly that if light gets too close (the event horizon), it gets sucked in. That's why we refer to it as a hole.
This still doesn't make sense to a non-physicist like me. You haven't explained why the photon can't just go into the curved area of space and straight out the other side.
What ever you want is going to cost a little more than it is worth. -- The Second Law Of Thermodynamics