The situation has provided a cue; this cue has given the expert access to information stored in memory, and the information provides the answer. Intuition is nothing more and nothing less than recognition.
Most of us really aren't horribly unique. There are 6 billion of us. Put 'em all in one room and very few would stand out as individuals. So maybe we ought to think of worth in terms of our ability to get along as a part of nature, rather than being the lords over nature