Statement: $E[X|Y]=E[X]$ implies $X$ and $Y$ independent.
I quite sure that it's not true, And I trying to find an Counterexample for this. but it's hard for me to find one.
2026-03-28 17:42:06.1774719726
Counterexample for $E[X|Y]=E[X]$ implies $X$ and $Y$ independent
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