I showed the following inequality to a colleague, where $A$ and the $B_i$ are all events: $ \Pr\left(A \mid \bigwedge_{i = 1}^n \overline{B_i} \right) \leq \Pr(A) $ He summarized, "So $A$ is negatively correlated with the $B_i$."
I have never heard this phrase used to refer to events. Even when it is used with respect to random variables, I'm not sure it is quite the same thing.
Could a more experience probabilist chime in? Does his terminology make sense? Is there a better word?