Conditioning Possible Worlds
Conditioning is zooming: every observation shrinks the world, and probabilities are rescaled to what remains.
H1H2
Ω - the sample space of possible worlds
Further reading
- Pretty much any basic textbook on probability or statistics.
- Seeing Theory (Brown University) - an interactive probability textbook in the same spirit; the compound probability and Bayesian inference chapters pick up where this page leaves off, in particular, for conditional probability.
- 3Blue1Brown, "Bayes theorem" - the geometric intuition behind the posterior bars, beautifully animated.
- Jaynes, Probability Theory: The Logic of Science, chapters 1-2 - for the ambitious: probability as the logic of plausible reasoning, where hypotheses live in the mind of the reasoner.