Introduction to Probability

What is Probability?

Probability is the study of chance or the likelihood of an event happening. Directly or indirectly, probability plays a role in all activities.

For example, we may say that it will probably rain today because most of the days we have observed were rainy days. However, in mathematics, we would require a more accurate way of measuring probability.

These lessons on probability will cover the following topics:

Samples in Probability (with video)

Probability of an Event (with video)

Theoretical Probability and Experimental Probability (with video)

Complementary Events (with video)

Probability Problems (with video)

Probability and Area

Geometric Probabillty

Coin or Dice Probabiltiy: Using A Tree Diagram (with video)

More Tree Diagrams (with video)

Probability Diagrams or Possibility Diagrams (with video)

Mutually Exclusive Events ("Or" events) (with video)
    
Independent Events ("And" events) (with video)

Dependent Events ("And" events without replacement) (with video)

Conditional Probability (with video)

Probability Tree Diagrams (with video)

Probabilty Without Replacement (using probability tree diagrams) (with video)

Factorial (with video)

Permutations P(n, n) (with video)

Permutaions P(n, r ) (with video)

Combinations (with video)

Probability with Statistics

Probability lessons on video -
Probabilty scale, Expected frequency, Bags of balls,
Mutually exclusive events, Possiblity space diagrams,
Independent events, Balls in bag problems with two picks,
Tree diagrams, Without replacement problems

Probabilty used in Statistics

• Random Variable (includes video)
• Probability Density Functions (includes video)
• Binomial Distribution (includes video)
• Expected Value (includes video)
• Poisson Distribution (includes video)
• Normal Distribution (includes video)
• Z-Score (includes video)
• Bayes' Theorem (includes video)

Probabilty and Combinatorics Videos

Introduction to Probability I
Introduction to Probability II

Fundamental Counting Principles

Permutations I
Permutations II
Permutations III

Combinations I
Combinations II

Permutations and Combinations

Probability of Multiple Events

Probability of Independent Events

Probability of Dependent Events

Probabilty of Complementary Events

Conditional Probability I
Conditional Probability II
Conditional Probability III

Pascal's Triangle and the Binomial Theorem
Binomial Theorem I
Binomial Theorem II

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