Basic Probability: The Multiplication Rule @jbstatistics
Basic Probability: The Multiplication Rule  @jbstatistics
Uploaded February 2021 | Updated September 2026, 2 hours ago
An introduction to the multiplication rule. (I assume the viewer has an understanding of conditional probability and independence, but I do a very brief review of those concepts.) I introduce the multiplication rule for two events, work through a simple example, then discuss the multiplication rule for 3 events and how it generalizes to any number of events. I end with an example using the multiplication rule to find the probability of a 3 way intersection.

Canadian demographic information is based on Statistics Canada numbers found here:

www150.statcan.gc.ca/t1/tbl1/en/tv.action?pid=1710000501

0:18 Brief review of conditional probability and independence.
1:39 Multiplication rule for two events
2:49 Simple urn example
4:32 Cautionary example
6:43 Multiplication rule for 3 events
7:35 Example involving Canadian demographics
Basic Probability: The Multiplication RuleThe Relationship Between Confidence Intervals and Hypothesis TestsAn Introduction to Inference for the Ratio of Two VariancesOne-Way ANOVA:  LSD confidence intervalst Tests for One Mean: An ExampleConfidence Intervals for One Mean:  Determining the Required Sample Size.The Sampling Distribution of the Ratio of Sample VariancesContinuous Probability Distributions: The Normal Distribution (STAT  I – Full Lecture)An Introduction to Inference for One Variance (Assuming a Normally Distributed Population)Z Tests for One Mean:  The p-valueConfidence Intervals for One Mean:  Investigating the Normality AssumptionUsing the F Table to Find Areas and Percentiles
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Basic Probability: The Multiplication Rule

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