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)

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