# How do these 3 bell curves of Likelihood, Posterior, Prior pictorialize the Odds form of Bayes' rule?

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I learn best visually, and I found these graph. 1. Does it furnish intuition on Theorem 2.3.5 below?

- E.g. Is the Likelihood Ratio always graphically left of Posterior and Prior? If so, why?

This can also be pictorially represented – the graph below shows the new posterior belief for a certain treatment has a reduced relative risk when the prior belief is combined with the data collected.

Blitzstein. *Introduction to Probability* (2019 2 ed). p 53.

Here are more details and better pictures of Theorem 2.3.5.

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