Probability of Complementary Events & Sample Space

This video tutorial explains how to calculate the probability of complementary events as well as AND/OR events using the sample space of a six-sided die.

Probability Formulas:

Probability Explained:

Probability With Geometry:

Probability of Complementary Events:

Conditional Probability:

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Independent and Dependent Events:

Probability of Mutual Exclusive Events:

Multiplication and Addition Rule:

Compound Probability:

Expected Value:

Probability Tree Diagrams:

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Bayes Theorem:

Probability - Binomial Distribution:

Probability - Geometric Distribution:

Probability - Poisson Distribution:

Continuous Probability Distributions:

Probability Density Functions:

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Probability - Uniform Distributions:

Probability - Exponential Distributions:

Probability - Normal Distributions (Calculus):

Probability - Standard Normal Distributions:

Probability - The Law of Large Numbers:

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Final Exams and Video Playlists:

Full-Length Videos and Worksheets:

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[kakurocksman]

1. Sample space for rolling a 6-sided die (00:00:00 - 00:00:06)
2. Event A includes natural numbers less than or equal to 4 (00:00:06 - 00:00:16)
3. Event B includes outcomes 3, 4, and 5 (00:00:16 - 00:00:24)
4. Probability of event A and event B occurring (00:00:24 - 00:00:36)
5. Sample space of events A and B (00:00:36 - 00:01:12)
6. Calculation of probability using number of favorable outcomes divided by total number of possible outcomes (00:01:12 - 00:01:52)
7. Probability of event A or event B occurring (00:01:52 - 00:02:56)
8. Sample space of event A or event B (00:02:08 - 00:02:36)
9. Calculation of probability using number of favorable outcomes divided by total number of possible outcomes (00:02:36 - 00:03:54)
10. Probability of the complement of event A (00:03:03 - 00:03:37)
11. Probability of event A or the complement of event A occurring (00:03:37 - 00:04:14)
12. Relationship between the probability of an event and its complement (00:04:11 - 00:04:50)
13. Calculation of the probability of selecting a marble that is not red (00:04:54 - 00:05:45)

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