The product rule of probability states that the probability of two independent events occurring together is calculated by multiplying the individual probabilities of each event occurring alone.

the verdict

SUPPORTED

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5 sources for · 0 against

Counts group repeated records of the same source within each side. They do not measure evidence strength or source independence.

Is it true that the product rule of probability states that the probability of two independent events occurring together is calculated by multiplying the individual probabilities of each event occurring alone?

Yes. The claim is fully supported by standard probability definitions and academic references, which state that the joint probability of independent events is calculated by multiplying their individual probabilities.

Verdict: SUPPORTED · 5 sources for, 0 against · Last checked 4 Oct 2026

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Judged against reference works: claims of this kind are settled by reference works, not journal abstracts.

Evidence for · 5

PLOS (all journals): Biased perceptions of public opinion don’t define echo chambers but reveal systematic differences in political awareness

Notes that the probabilities of A and B must be multiplied to determine both occurring.

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PLOS (all journals): Biased perceptions of public opinion don’t define echo chambers but reveal systematic differences in political awareness. (n.d.). PLOS (all journals). https://doi.org/10.1371/journal.pone.0324507

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More for · 4

GovInfo: FR 2023 10 03

Explains calculating the probability of events occurring by multiplying individual probabilities.

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GovInfo: FR 2023 10 03. (n.d.). GovInfo. https://www.govinfo.gov/app/details/FR-2023-10-03

LibreTexts: LibreTexts: 12.1E: Rules of Probability for Mendelian Inheritance

Explicitly defines the product rule as multiplying individual probabilities of independent events.

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LibreTexts: LibreTexts: 12.1E%3A Rules of Probability for Mendelian Inheritance. (n.d.). LibreTexts. https://bio.libretexts.org/Bookshelves/Introductory_and_General_Biology/General_Biology_(Boundless)/12%3A_Mendel's_Experiments_and_Heredity/12.01%3A_Mendels_Experiments_and_the_Laws_of_Probability/12.1E%3A_Rules_of_Probability_for_Mendelian_Inheritance

OpenIntro; Diez, Cetinkaya-Rundel, Barr: 3.1 Defining probability - OpenIntro Statistics, Fourth Edition

Details the multiplication rule for independent events as the product of separate probabilities.

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OpenIntro; Diez, Cetinkaya-Rundel, Barr: 3.1 Defining probability - OpenIntro Statistics, Fourth Edition. (n.d.). OpenIntro; Diez, Cetinkaya-Rundel, Barr. https://www.openintro.org/go/?id=os4_for_screen_reader#page=91

OpenStax: OpenStax Biology: 12.1 Mendel’s Experiments and the Laws of Probability

Directly states that the product rule calculates the probability of independent events by multiplying them.

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OpenStax: OpenStax Biology: 12.1 Mendel’s Experiments and the Laws of Probability. (n.d.). OpenStax. https://openstax.org/books/biology/pages/c785a8d1-04ca-47ff-af0b-8de66795436a@

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