There is an error in the odds equation presented as coming from 3blue1brown. What appears in this article is : O(H|E)=O(H)×P(E|H)P(E|¬H) Sanderson actually has: O(H|E)=O(H)×P(E|H)/P(E|¬H)
Unless what you meant to write was: O(H|E)=O(H)×P(E|H):P(E|¬H) Where P(E|H):P(E|¬H) is the Bayes’ factor written as an odds a well. This is what is done in the Pablo’s illustration.
There is an error in the odds equation presented as coming from 3blue1brown.
What appears in this article is : O(H|E)=O(H)×P(E|H)P(E|¬H)
Sanderson actually has: O(H|E)=O(H)×P(E|H)/P(E|¬H)
Unless what you meant to write was:
O(H|E)=O(H)×P(E|H):P(E|¬H)
Where P(E|H):P(E|¬H) is the Bayes’ factor written as an odds a well.
This is what is done in the Pablo’s illustration.