I believe that evil exists because God gave us free will. Adam and Eve disobeyed God. Because of this The Fall of man happened and drew us away from God. Suffering exists not only because God can exert justice on the evil of the earth but also because God can grow people and bring them to greater revelation through suffering.

According to the [Lutheran Church–Missouri Synod](https://en.wikipedia.org/wiki/Lutheran_Church%E2%80%93Missouri_Synod), is this a correct argument? If so how do I expand and support it to make a good response to a non-Christian who says something like:

 - I can't believe in a good God when there is evil and suffering in the world.

<sup>My argument assumes a non-Christian who knows some of the basics of Christianity. To be clear, I intend the definition of non-Christian to be broad in the sense that it includes those of various other faiths and those that might not believe God exists.</sup>