Let's get back to our original question. A good God would want to remove the possibility of evil. Based on our little discussion we just had, a really good God would make evil possible. He wouldn't make evil impossible. Because a really good God would allow men the moral freedom which is a good thing.
Moral freedom requires at least the possibility of doing evil.
So, when you talk about the goodness of God, the goodness of God doesn't argue against the possibility of evil. A good God would give us moral freedom which means that evil is possible. If He was powerful enough, He would get rid of evil. A world in which human beings have true moral choices means that they have true moral choices. Not just the choice to do good, but the choice to do good and evil.