# Electrostatic force - charges jumping between objects

So I have this homework question that I answered already but still don't understand why the answer is correct.

A positively charged ball is brought close to an electrically neutral isolated conductor. The conductor is then grounded while the ball is kept close. Is the conductor charged positively, charged negatively, or neutral in each of the following cases?
(a) The ball is first taken away and then the ground connection is removed.
(b) The ground connection is first removed and then the ball is taken away.

I understand that in (a) the conductor will be neutral because the grounding effect causes electrons to go straight to the ground. But (b) I don't understand. The answer says that the conductor will be charged negatively, but I thought that when two charged objects are close or touch each other, the charge is shared between them. Or maybe that charge is only shared when the objects touch. Either way, I don't understand why the positively charged ball would make the conductor negative.