Introduction to Probability

Need help in probability math?

These lessons on probability will include the following topics: Samples in probability, Probability of events, Theoretical probability, Experimental probability, Probability problems, Tree diagrams, Mutually exclusive events, Independent events, Dependent events, Factorial, Permutations, Combinations, Probability in Statistics, Probability and Combinatorics.

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.

• Introduction to Probability
  Samples in Probability
  Probability of an Event
  Theoretical/Experimental Probability
  Complementary Events

• Probability Diagrams
  Probability/Possibility Diagrams
  Coin or Dice Probability using a tree diagram
  Probability Tree Diagrams
  More Tree Diagrams
  Probability Without Replacement using tree diagrams
  

• Probability Problems
  Probability Problems
  Probability and Area
  Geometric Probability

• Types of Events
  Mutually Exclusive Events: OR events
  Independent Events: AND events with replacements
  Dependent Events: AND events without replacement
  Conditional Probability

• Permutations & Combinations
  Factorial  
  Permutations P(n, n)
  Permutations P(n, r )
  Combinations
  Probability with Statistics
  
  Probability Lesson

Probability used in Statistics

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

Probability and Combinatorics Videos

• Fundamental Counting Principles
  Introduction to Probability I
  Introduction to Probability II
  Fundamental Counting Principles

• Permutations and Combinations
  Permutations I
  Permutations II
  Permutations III
  Combinations I
  Combinations II
  Permutations and Combinations

• Probability of Multiple Events
  Probability of Multiple Events
  Probability of Independent Events
  Probability of Dependent Events
  Probability of Complementary Events

• Conditional Probability
  Conditional Probability I
  Conditional Probability II
  Conditional Probability III

• Binomial Theorem
  Pascal's Triangle & the Binomial Theorem
  Binomial Theorem I
  Binomial Theorem II

Try the free Mathway calculator and problem solver below to practice various math topics. Try the given examples, or type in your own problem and check your answer with the step-by-step explanations.

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