Bound to sin is the end result of having sinned. It is just how it is. We are incapable of being righteous.
We aren't talking about legalism here.
These are the kinds of questions that come up when one doesn't understand the sovereignty of God or just who God is. The questions to oppose this is, was God surprised? Was God caught off guard? Does God have control or not? Again, when one doesn't have a grasp on who God is.
You have to look at the concept of scripture. You need to remember that we sinned against God. We didn't sin against the universe. We didn't sin against some universal law that both we and God have to obey. We sinned against God. So, who has the final word? God does. Man, ultimately, has no choice. Again, however, that is outside of our ability to grasp/comprehend. It is easier to look at life as we see it, which is we have a choice. If God comes up to you in the end and says "GET OUT!!!" is there anything you can say against Him?
You need to understand that the discussion (such as in my comments written above) are all behind the curtain.
3 Blessed [is] the God and Father of our Lord Jesus Christ, who did bless us in every spiritual blessing in the heavenly places in Christ,
4 according as He did choose us in him before the foundation of the world, for our being holy and unblemished before Him, in love,
5 having foreordained us to the adoption of sons through Jesus Christ to Himself, according to the good pleasure of His will,
6 to the praise of the glory of His grace, in which He did make us accepted in the beloved,
7 in whom we have the redemption through his blood, the remission of the trespasses, according to the riches of His grace,
8 in which He did abound toward us in all wisdom and prudence,
9 having made known to us the secret of His will, according to His good pleasure, that He purposed in Himself,
10 in regard to the dispensation of the fulness of the times, to bring into one the whole in the Christ, both the things in the heavens, and the things upon the earth -- in him;
God's integrity has never been in question. This shows, again, a lack of knowledge as to just who God is. God doesn't have to give ANYONE the opportunity to be saved. Who, apparently besides you, can stand and say that God has shown himself to not have integrity? What affect can we have on God by saying that we are saying God has no integrity? NONE, because it isn't true. God is absolutely not at all affected by such things, because He knows. It's like a spiteful child saying, if you don't do this, then that makes you a big meanie. It doesn't, which is why children generally didn't win in the past, though parents are more pushovers today.
That is completely irrational. You have just made yourself the judge of God. Who are you to put yourself above God and tell God what He can and cannot do? Who stands above God that you can run to them and say, but, but, but God told us to do this, but He won't do it Himself. WHO??? Are you beginning to see the position God holds? Should you go to prison for telling your child to go to bed at 6PM while you refuse and go to bed at midnight instead? That you tell them they have to be polite, while you aren't, which is, at times, an adults prerogative? Notice the difference? They are child, you are adult. Well, we are created and He is the Creator. We are human, He is... eternal God and Creator of all.
Most probably, yes. And we have no say in the matter.
