
Yet, the odds were neatly and firmly stacked against her.
Nature ruled that she would be barren; the Torah ruled הכל בידי שמים חוץ מיראת שמים, a person's righteousness cannot be destined from Above - a pious lifestyle cannot be foretold.
Thus, the odds of Chana's wish coming true were zero - it could not happen. Not by means of nature nor by the rules of the Torah.
This was reality.
Yet, Chana did not settle with this reality.
She fought to create a new one.