## Terms in Probabilistic Theory

I was a bit confused about some terms such like Events and Outcomes, Trials. I’ve gathered Wikipedia Results into here. Now I am clear in somewhat.   1. Probability : Probability is the measure of the likelihood that an event will occur. See glossary of probability and statistics. Probability quantifies as a number between 0 and 1, where, loosely speaking, 0 indicates impossibility and 1 indicates …

## Conditional Probability and the Independence of Trial

Conditional Probability is defined as below. It implies that probability space should be restricted in A to get  . It can be shown as like a picture below. Let’s consider the independence of events. If we assume that there are 10 balls in a box. (# of black balls  = 7, # of red balls …

## Joint Probability and Chain Rule

1. Joint Probability Function Joint probability can be classified with discrete random variables and continuous random variables. In this post I want deal with just discrete random variables and its joint probability function. Let is given by   The function   will be referred to as the joint probability function. [referred by Mathematical Statistics with …

## Conditional Independence

Let’s consider conditional independence. I would recommend an example below which is the one of the best example to explain conditional independence intuitively. I’ve heard an on-line machine learning lecture from Prof. Il-Chul Moon who is the professor at KAIST. I would like to quote an picture from that lecture (3.2) There is an commander who …