It is usually said that according to the no hair theorem, black holes erase the information enter them which reduce the entropy and imply the so called "information paradox".
The problem is that for an observable far from the black hole, you can't really throw anything inside it because the time take for an object to get to the horizon would seem infinite so it seems to me that no information can be lost in that way.
Is it right and if so, how it fit together with the information paradox?
