Key Concepts
- If two events are mutually exclusive, the addition rule for probability can be used to determine the probability of the outcome.
- If two events are not mutually exclusive, the addition rule for probability needs to be modified to determine the probability of the outcome.
- If two events are independent, the multiplication rule for probability can be used to determine the probability of the outcome.
Glossary
addition rule for probability: if [latex]A[/latex] and [latex]B[/latex] are any two mutually exclusive events, then [latex]P(A \ \mathrm{OR} \ B) = P(A) + P(B)[/latex]. If [latex]A[/latex] and [latex]B[/latex] are NOT mutually exclusive events, then [latex]P(A \ \mathrm{OR} \ B) = P(A) + P(B) - P(A \ \mathrm{and} \ B)[/latex].
multiplication rule for probability: if [latex]A[/latex] and [latex]B[/latex] are independent events, then [latex]P(A \ \mathrm{and} \ B) = P(A)P(B)[/latex]
sample space the set of all possible outcomes of an experiment
Candela Citations
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- Introductory Statistics . Authored by: Barbara Illowsky, Susan Dean. Provided by: Open Stax. Located at: https://openstax.org/books/introductory-statistics/pages/3-key-terms. License: CC BY: Attribution. License Terms: Access for free at https://openstax.org/books/introductory-statistics/pages/1-introduction