Basics of Probability: Unions, Intersections, and Complements @jbstatistics
Basics of Probability: Unions, Intersections, and Complements  @jbstatistics
Uploaded February 2018 | Updated September 2026, 2 hours ago
An introductory discussion of unions, intersections, and complements in the context of basic probability. I include a discussion of mutually exclusive events, as well as the addition rule. I work through a simple die rolling example, and also an example of a scenario where we randomly sample from a population of people, where some have diabetes and some have hypertension. The various scenarios are illustrated with Venn and Euler diagrams. (The percentages given in the video are loosely based on statistics for 50 year-old Canadian males.)
Basics of Probability: Unions, Intersections, and ComplementsThe Hypergeometric Distribution: An Introduction (fast version)Calculating Power and the Probability of a Type II Error (A One-Tailed Example)Standardizing Normally Distributed Random Variables (fast version)Introduction to the Negative Binomial DistributionUsing the Chi-square Table to Find Areas and PercentilesThe Normal Approximation to the Binomial DistributionChi-square tests for count data: Finding the p-value (old, fast version)Measures of Variability (Variance, Standard Deviation, Range, Mean Absolute Deviation)Proof that the Sample Variance is an Unbiased Estimator of the Population VarianceFinding Probabilities and Percentiles for a Continuous Probability DistributionConditional Probability Example Problems
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Basics of Probability: Unions, Intersections, and Complements

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