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
Probability of an Event
Theoretical Probability and Experimental Probability

Complementary Events
Probability Problems

Probability and Area
Geometric Probabillty

Coin or Dice Probabiltiy: Using A Tree Diagram
More Tree Diagrams

Probability Diagrams or Possibility Diagrams

Mutually Exclusive Events ("Or" events)
Independent Events ("And" events)
Dependent Events ("And" events without replacement)

Conditional Probability
Probability Tree Diagrams
Probabilty Without Replacement (using probability tree diagrams)

Factorial

Permutations P(n, n)
Permutations P(n, r )

Combinations

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
• Probability Density Functions
• Binomial Distribution
• Expected Value
• Poisson Distribution
• Normal Distribution
• Z-Score
• Bayes' Theorem

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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