Lets make this simple. Does the existance of God have any correlation or means for a World to be without evil? Ofcourse not. So, to answer your initial question, No.
The existence of God in itself may not. A benevolent and omniscient God though raises a very different answer.
Md Mashud said:
Also, someone has not grasped this freewill thing. Just because God know's what you will do doesn't mean you did not decide to do it - its not a complex subject.
You're right. It isn't very complicated.
A: Allah is proclaimed to be omniscient (Premise 1). Allah therefore knows the outcome of every action, event and has knowledge of every fact.
B: A human choice is an event. If I decide to go to the shops, then I am initiating a state of affairs.
C: If Allah knows the outcome of every event then he knows the outcome of every single human choice. (Premise 1)
D: If Allah knows the outcome of any future choice by any being, then the outcome described is the only possible outcome because:
D1: If any outcome from a human choice was different than Allah's knowledge then Allah would be wrong. This contradicts Premise 1.
D2: If Allah was wrong then Allah would not be omniscient.
E: If any choice has only one outcome then there is no choice at all. (Premise 3)
(Free Choice relies on the ability to do otherwise. Free-Will relies on the ability of choice. Both are made redundant by the existence of omnipotence contained within a single source (in this scenario: contained within God). If God is omniscient then God necessarily knows the result of all actions within humanity. If all actions within humanity are known then there is no such things as Free-Choice since the outcome has already been pre-seen. If this is the case then there is no Free-Will because Free-Will is dependent upon the ability to exercise choice.)
F: If every choice has only one outcome then there is actual no choice at all, only events.
G: If Allah is omniscient, then every choice is no choice at all.
(Omniscience necessitates the ability of knowledge of all outcomes: past, present and future. This also necessarily leads to God knowing all future events that will happen. If all future events are known to happen, then all human choices are also known to happen. If all human choices are known to happen and cannot change then they lose the status of 'choice' and simply become rendered into events. As Premise 3 states, choice relies on the possibility of more than one specific outcome. If only a specific outcome can happen then there is no choice, only consequences of events. Only under omnipotence can this happen as all future 'choices' would already be known by the source which possesses omnipotence.)
If Allah is omniscient, then there is no free-will at all.