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Let's work at this from reverse.

OF COURSE smart people are more likely than average to become rich! How could it be otherwise, unless the only way to become rich was luck?

Now, some people are born rich! But even if it's just the self-made rich that are smarter than average, and people born rich are exactly average (unlikely as intelligence/attractiveness/etc are at least partly inheritable), that means that rich people are ALSO smarter than average. ('above average' averaged with 'exactly average' is still 'above average')



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