Which Alice?

The Twelfth Question
"Yes, I realize that," said Alice, a bit nervously.
"And being nervous won't help a bit!" added the Queen.
"I realize that, too," replied Alice, even more nervously.
"Now, child, here is the question—remember, everything depends
on whether you answer it wrong or right!"
"Yes, yes, I know!" cried Alice.
"Well, the question is this: Will you pass this examination?"
"How should I know?" replied Alice, surprised at her own
boldness.
"Tut, tut, child; that's no answer!" said the Red Queen. "You
must give me a definite answer—yes or no. If you answer correctly,
you will pass; if you don't you will fail—it's as simple as that!"
The matter didn't seem quite that simple to Alice! Indeed, the
more she thought it over, the more puzzling it became. Then she
suddenly realized something very interesting! If she answered one
way, then the Red Queen would have the option of either passing
her or failing her as she pleased. If she should answer the other
way, then it would be impossible for the Queen either to pass her or
fail her without contradicting her own rules! Well, since Alice was
more interested in not failing than in passing, she chose the second
alternative, and answered in such a way as totally to confound the
Queen.
What answer did she give?
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