Dr. J's Maths.com
Where the techniques of Maths
are explained in simple terms.

Probability - Main Page.


 
References on this page are grouped into the following categories:
1. Basic probability concepts.
2. The main approaches to determining probabiities.
3. Venn Diagrams - basic concepts and set language.
4. Conditional probability.
5. Probability distributions - discrete and continuous.
6. The normal distribution.

 
Learning area Resource
   
The basic probability concepts.
Frequency - theoretical, relative and experimental.  
   
The main approaches to determining probabiities.
Probability trees.  
  Trees - Test Yourself 1.
  Trees - Test Yourself 1 - Solutions.
  Trees - Test Yourself 2.
  Trees - Test Yourself 2 - Solutions.
Dice and sets of 2 values.  
  Dice etc - Test Yourself 1.
  Dice etc - Test Yourself 1 - Solutions.
  Dice etc - Test Yourself 2.
  Dice etc - Test Yourself 2 - Solutions.
   
Arrays and boxes.  
  Boxes - Test Yourself 1.
   
Venn diagrams.  
Basic questions. Venn - Test Yourself 1.
  Venn - Test Yourself 1 - Solutions.
Language and notation.
  Venn diagrams & language - Test Yourself 1.
  Venn diagrams & language -
Test Yourself 1 - Solutions.
   
   
   
   
  Venn diagram cartoons
(for when you have finished everything else).
   
Conditional probability.  
   
   
Miscellaneous questions.  
Probability distributions.
Probability distributions - discrete.
  Review of the main concepts of discrete random variables from the video.
  Discrete probability - Concepts - Test Yourself 1.
  Discrete probability - concepts -
Test Yourself 1 - Solutions.
 
  Discrete probabiity - Expected values and variance -
Test Yourself 1.
  Discrete probabiity - Expected values and variance -
Test Yourself 1 - Solutions.
   
Probability distributions - continuous. General concepts for continuous probability functions.
  Histograms, cumulative histograms and expected frequencies.
  "An Introduction to the Continuous Uniform Distribution" - an excellent video produced by jbstatistics.
  Probability density functions -
Test Yourself 1.
  Probability density functions -
Test Yourself 1 - Solutions.
  Cumulative distribution functions -
Test Yourself 1.
  Cumulative distribution functions -
Test Yourself 1 - Solutions.
   
Normal distribution  
Basic concept - what is normal anyway?  
z scores z scores - Test Yourself 1.
  z scores - Test Yourself 1 - Solutions.
Determining percentage probabilities using the normal distribution.  
  Table showing areas under the Normal curve.
  Probabilities - Test Yourself 1.
  Probabilities - Test Yourself 1 - Solutions.
  Probabilities - Test Yourself 2.
  Probabilities - Test Yourself 2 - Solutions.