Why did God create us so that it is in our nature to sin? There are many questions that circle around the following question but the exact wording is important - therefore it is, to the best of my knowledge, not a duplicate!

In many of the answers given to similar questions the following is stated:


  God has perfect free will but He will never sin because it is not in
  His nature.


My question
Obviously we haven't defined our nature ourselves but we were created with a certain nature. Obviously it is in our nature to sin. When God created us in His image why did He take the free will-part but not the it is not in our nature to sin-part? The catastrophic consequences were clear to Him being omnipotent.

NB
I am not looking for speculative answers but answers that are firmly based on scripture.

NB 2
This question is being asked from a Protestant Christian perspective (sola scriptura).
"When God created us in His image" is in your question. Maybe "His image" means:
We have spirits, consciousness, emotions and use language, but does not mean we are uncreated, all knowing, or have any moral strength of our own separate from God. One can disagree with this definition but I suggest your question implies we all agree on some obvious meaning. Also the question does not, I think, show awareness of the following:

God made Adam.

God is perfect. Adam was made perfectly to fit God's purposes.

God's purpose was that only Jesus would fulfil the law.Mat 5v17 I did not come to destroy but to fulfil. [the Law].

Adam was not made capable of fulfilling the Law.

At first Adam had peace with God. In Gen 2v16 Adam is not ashamed to be in God's presence. But nothing had been required of him so far. [A car in a showroom with no brakes is not perfect but it only becomes a problem when it is driven]. Temptation exposed Adam's inability.

Rom 11v32 God has committed them all to disobedience that He might have mercy on all. [might=subjunctive=a possibility]. The possibility of having mercy on all, or any, is created by the necessary condition of all being trapped, or
committed to disobedience. The Greek word for trapped used here is the same as used in Luke 5v6 for fish enclosed. It is something done to fish, or men, and not something they initiate.

To blame [blame implies fault] God is not the way out of sin even though we have been made incapable of the holiness necessary to fulfil the Law. Admitting to God we are sinners and turning to Him for forgiveness is the way out of sin.