# Law of total expectation

This English edition is an AI candidate and does not yet have an OCME Atlas (GPT-6) Twin closure receipt.

[Catalogue presentation and source-binding data](https://ocme.evemisslab.com/data/i18n/catalogue.en.json)



## [Law of total expectation](https://ocme.evemisslab.com/en/atlas/atlas-law-of-total-expectation/)

On the same finite probability space, weighting every partition-cell conditional mean by its cell probability gives E[X].

atlas-law-of-total-expectation · canonical_mko

[Law of total expectation](https://ocme.evemisslab.com/en/mko/mko-law-of-total-expectation/)

## Prerequisite nodes


- [Finite conditional expectation](https://ocme.evemisslab.com/en/atlas/atlas-conditional-expectation/)
- [Expectation in finite models](https://ocme.evemisslab.com/en/atlas/atlas-expectation/)
- [Event](https://ocme.evemisslab.com/en/atlas/atlas-event/)