I have a list of 26 names. I'm selecting names from the list at random. Only one of the names from the 26 can answer a question correctly. As I select and miss, I remove a faulty name from the list, so it shrinks as I go along.

What is the probability that I make 25 straight improper selections so that only the last name that I select on the list answers the question correctly?

LOML blurted out, "It's about 0.04." How accurate is her analysis?