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Actually, decades of Psychological research (the amount of effort that went into this question is unbelievable) show that intelligence is determined 50/50 between nature (genes) and nurture (how a kid is raised, environment, etc).
So yes, a high IQ couple can have a stupid kid, but genes less likely to affect it too much, because high IQ couples tend to have the means (money, job, social network) to provide a very good environment for the kid.
Stupid parents (to use the layman's term) might give birth to a genetically towards high IQ predisposed kid, but often lack the means to educate it.
::emp::
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