In "The Lady, or the Tiger", how does the princess discover which of the two doors will hold the lady?

While the posting above does not offer an answer according to the posted quote from the text, another quote from "The Lady or the Tiger?" offers a very different view.

In the following quotes from the story, one can see that the Princess did, indeed, know about the doors and what they held.

And not only did she know in which room stood the lady ready to emerge, all blushing and radiant, should her door be opened, but she knew who the lady was.

All it took on the part of the Princess to gain this knowledge was gold and a little womanly intuition.

But gold, and the power of a woman's will, had brought the secret to the princess.