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Is it useful? Who knows 🤷. But I like it, and hope you do too. Here is a proof (mostly calculus): math.stackexchange.com/q/980655/75808
math.stackexchange.comProving $|P(A\cap B)-P(A)P(B)|\leq \frac{1}4$Let $A$ and $B$ be two events of a probability space. Prove that $\displaystyle|P(A\cap B)-P(A)P(B)|\leq \frac{1}4$
I think it's a very challenging problem, and I've made no progress so far ...
Can
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