# Open Study Answer #130

**Proposed answer to the following question(s):**

## WORK IN PROGRESS

A feature of scoped entropy [1] analogous to mutual information is the following:

For any random variable \(X\) and random object \(Y\) of finitely many values, \[ \begin{array}{lcr} \operatorname{V}_{ \mathfrak{d}(X)}({ Y}) = 0 & \text{ if and only if } & \mbox{ $X$ and $Y$ are independent} \end{array} \]

# References

1. Ellerman EC Scoped entropy. https://castedo.com/osa/128/