Intuition has nothing to do with "odds-making." I would call it rather, "subconscious intellectual processing", thinking and reasoning that takes place without us being aware that we are doing it.
A lot of human communication is non-verbal. We communicate with body language, emotion, facial expressions, gestures, and even odors. The brain has been trained since childhood to pick up on these cues, but we often tend to ignore them as we grow older. I believe that what we call "feminine intution" is actually this subconscious processing; women seem to be more atuned to non-verbal cues than men are, although either sex is capable of it. Men are, in part, socially trained to ignore this type of perception as "feelings." Highly successful and clever people use this processing to augment their cognitive skills.
There's nothing mythical about intutition. And it's much more than simple probability estimating.
Bingo. When I'm faced with a new technical problem, I gather all the possible background information I can find, and study it. Then I just "fuggedaboutit" on a conscious level for a day or so. When next I revisit that need, the solutions are there, ready to be examined logically and used. I don't have the foggiest idea as to how it works, BUT IT DOES WORK, and repeatably so.