What is the relationship between mathematical competence and probabilistic intuition?
They don't correlate.
The correlation is positive.
The correlation is negative.
Abracadabra.

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Does this mean that if I bet good, I’m good at math?

@mattyb This is, in fact, the question. Although I'm interested in how those who are good at math are good at betting, and not vice versa. I've seen some mathematicians with strange ideas about the world.

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