I am completely confused by the point you appear to be trying to make here.
You cannot equate asking someone about algebra with asking someone to believe in God – except that is not your parallel is it?
If I asked a man if he knew about algebra, and he said he knew nothing, but it was a load of rubbish, I would point out that algebra is a recognised and studied branch of maths, and its truths are acknowledged, defined, unchallenged and permanent. Therefore the ignorance of algebra is entirely his choice, and he has the power to change it.
If I asked a man if he believed God existed, and he said yes – I could not say the same. The existence of God is not acknowledged, defined, or unchallenged, it is simply what he believes to be true. I believe it not to be true. Neither of us knows if the other is right – but I would not be trying to sway him to my viewpoint, he would probably try to sway me to his.
But if your flawed analogy refers to the Bible, and belief in what it says, then because I have read it, and been taught about it, and hear extracts from it every Sunday morning, I can form an opinion that it is stating things that I believe to be untrue, and you can say that you believe it is true, but that does not prove you right and me wrong.
The difference again is – you desperately need to believe that you are right, I could not care less if I am right.