Tsvi BT

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by Tsvi BT Nov 8 2015

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Tsvi BT

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Example: Dragon Pox Kai might have Dragon Pox. Oy.
Joint probability distribution A probability distribution over the collection of joint configurations of all the variables you care about.
Joint probability distribution: (Motivation) coherent probabilities If you don't use joint probability distributions, none of your probabilities will make any sense. So, yeah, use joint probability distributions.
Probability distribution (countable sample space) A function assigning a probability to each point in the sample space.
Sample space The set of possible things that could happen in a part of the world that you are uncertain about.
Sample spaces are too large Sample spaces are often large, so it is hard to do probabilistic computations using a raw distribution over the sample space.
Square visualization of probabilities on two events $$ \newcommand{\true}{\text{True}} \newcommand{\false}{\text{False}} \newcommand{\bP}{\mathbb{P}} …
Square visualization of probabilities on two events: (example) Diseasitis But it *seems* like the patient with the black tongue depressor has diseasitis...
Two independent events What do [a pair of dice], [a pair of coins], and [a pair of people on opposite sides of the planet] all have in common?
Two independent events: Square visualization $$ \newcommand{\true}{\text{True}} \newcommand{\false}{\text{False}} \newcommand{\bP}{\mathbb{P}} …
Uncountable sample spaces are way too large We can't define probability distributions over uncountable sample spaces by just assigning numbers to each point in the sample space.

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>Does this actually work for any proportions of A and B? Is there a simple proof? Yes, but I'm not …
Is there a way to link to a section within a page? (E.g. for tables of contents.)
Yeah this is maybe a placeholder to support the lens, added stub tag.

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Arbital: Google Maps for knowledge Take your understanding from where it is to where it wants to be. - Alexei Andreev
Arbital: learning from Wikipedia How is Arbital different from Wikipedia? - Alexei Andreev
Corrigibility "I can't let you do that, Dave." - Nate Soares
Group theory What kinds of symmetry can an object have? - Nate Soares
Joint probability The notation for writing the chance that both X and Y are true. - Eliezer Yudkowsky