Let be $X$ and $Y$ two random variables such that, for any event $A$,$P( X \in A \mid Y) = P(X\in A)$ with probability 1.Can I conclude that $X$ and $Y$ are independent ?
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Let be $X$ and $Y$ two random variables such that, for any event $A$,$P( X \in A \mid Y) = P(X\in A)$ with probability 1.Can I conclude that $X$ and $Y$ are independent ?