# Probability vs Likelihood

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[*StatQuest: Probability vs Likelihood (YouTube)*](https://www.youtube.com/watch?v=pYxNSUDSFH4)
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## Probability

* Areas under a fixed distribution
* $$p(data | distribution)$$

![Probability representation](https://569842953-files.gitbook.io/~/files/v0/b/gitbook-legacy-files/o/assets%2F-LmjpNbCRLUyGiAxD8kn%2F-LnY7rd8GXpDD55wUD2c%2F-LnY8lqEUB_FfWUwvYQa%2Fimage.png?alt=media\&token=c659f369-e27b-4f73-ae0d-14fdd90c2f69)

## Likelihood

* Y-axis values for fixed data points with distributions that can be moved
* $$p(distrubution | area)$$

![Likelihood representation](https://569842953-files.gitbook.io/~/files/v0/b/gitbook-legacy-files/o/assets%2F-LmjpNbCRLUyGiAxD8kn%2F-LnY7rd8GXpDD55wUD2c%2F-LnY8xBUgHF3GD7D5107%2Fimage.png?alt=media\&token=67b30355-615f-4bc7-979d-10e229da5a79)