I've always loved mathematics. I especially enjoyed Probability Theory at university. I'd come up with my own formulas (shorter than the textbook ones), and the teacher would say, "Your solution is correct, but please use the formula in the textbook."
Regarding intuition, I have the opposite opinion from you. Because you and I have different worldviews :) I had an atheist worldview until I was 30, then it was time to become an agnostic.
Conditioning.
How does your intuition work in your opinion then? Is it given to you by some spooky universe?
The universe isn't mysterious. An observant person will notice how probabilities work and wonder about the recurrence of unlikely events. I believe there are certain laws that increase the likelihood of a person finding themselves in certain situations.
I believe that a person should not rush and chase obvious profits; he should stop more often and listen to his heart.