Probabilistic World

What Is A Sample Space?

Posted on February 25, 2016 Written by The Cthaeh Leave a Comment

A photograph of two white and three brown large standard dice.

The concept of a sample space is fundamental to probability theory. It is the set of all possibilities (or possible outcomes) of some uncertain process. For example, the sample space of the process of flipping a coin is a set with 2 elements. Each … [Continue reading]

What Is Bayes’ Theorem? A Friendly Introduction

Posted on February 22, 2016 Written by The Cthaeh 4 Comments

Bayes' theorem hand-written on a notebook. Additionally, two dice are rolled on top of the notebook from a black plastic cup.

If you ever came across Bayes' theorem, chances are you know it's a mathematical theorem. This theorem has a central role in probability theory. It's most commonly associated with using evidence for updating rational beliefs in hypotheses. While … [Continue reading]

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