People say that God cannot exist because there is evil and suffering in the world, claiming that if God truly loved us, He wouldn't have made Hell, sin, etc. When really, He didn't directly create sin and Hell-- we did.
Because of man's failure to obey God, we then had to deal with a stain on our race, a separation, because we rebelled against God. This is sin. Some will ask "But why did he put all those curses on us in addition?" He punished us, because any loving father disciplines their kids and shows them what's what, so that they can learn from their bad choices, know how to please Him, and try to do better to please Him.
Our ability to sin in the first place comes from God's gift to humans of free will. Because of Him we have a moral right and wrong and a use for our consciences. We can then, based on the information given to us about Him in our lives, freely choose to obey Him or not care about Him; to accept or reject Him. If we accept God, He says (Biblically) that we must obey him if we truly love Him; we must strive to please Him by our actions.
If we reject Him? Well, to put it the way my religion teacher put it, God isn't going to force you to live in His presence eternally (Heaven). He's going to respect your decision and let you be separate from Him if it's how much you couldn't stand Him. (Like how people say that if you truly love your spouse you would be willing to let them leave you if they so desired.)
Problem is, Hell is in and of itself that separation. God, being the Divine Creator, is of all good things: love, beauty, happiness, etc. Without God, there is no love, beauty happiness, etc. and that's pretty much what Hell is. Hell was created by a lack of God, not by God Himself.
Now if you lived your life never knowing of God's existence and never hearing the Word? I believe God would have mercy; otherwise we'd have millions of premature and aborted babies in Hell when they were never even able to sin. You can't deliberately go against God when you have no idea what God is, lol.
So now the question is this: why does God allow us free will when we can't know everything about Him or logically look at the consequences and make an educated choice based on that knowledge? Faith.
The way God approaches us is that He reveals to us the things we need to know in order to be saved, but within His revelations there's always room for doubt. He never makes Himself plainly-known or understood, He never shows His existence to be a common fact. The idea of trying to find evidence for God's existence using scientific methods? Hilarious.
Science only focuses on what humans know and theorize about the natural world, while God is in the supernatural and doesn't need to conform to nature; thus miracles, defined as occurrences that cannot be explained by the laws of nature, are possible ("anything is possible with God"). Let me also throw out there that we would probably have no concept of miracles if it weren't for God, just as the exact properties of morality, perfection, and their opposites are found nowhere else.
Now, let's look at a different side. 1+1=2. You do not believe that 1+1=2; you do not have to. It is a mathematical, proven fact. You know that 1+1=2. God, however, is not a mathematical, proven fact, because He doesn't need to be. If He were a proven fact by the laws of nature/science/the world, you would not have to believe in Him, and tbh He wouldn't be supernatural at all and therefore there wouldn't be miracles. This is why He provides the gift of faith: the ability to believe in Him, regardless of what science says or what the "evidence" says. That may be a lot for Him to expect of us, but He's gotta have some standards to go on regarding who gets into Heaven and who doesn't (no one ever "deserves" Heaven; our salvation is a gift, too)... and if we can totally deny the world and keep our faith, even in the face of our opposers, that means a strong love for God, a strong desire to serve Him, and a strong desire to follow His commandments.
True faith, just like God Himself, does not require the conformity of the natural world. It goes beyond what the world can provide, and it doesn't need to agree with the laws of this world. This is why God gives us that gift, and He only gives it to those that look for Him where He ought to be found.