Opening the book…
Proof (Derivation of Bayes’ rule). First, remember the rule for computing a conditional probability:
We can rearrange this to get the formula to compute the joint probability using the conditional:
Using this we can compute the inverse probability:
This page titled 10.3: Appendix was last modified on Mon, 11 Jan 2021 05:13:38 GMT and is shared under a CC BY-NC 4.0 license and was authored, remixed, and/or curated by Russell A. Poldrack via source content that was edited to the style and standards of the LibreTexts platform.
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