4.8: Chapter 4 Formulas

Mostly Harmless Statistics · LibreTexts

0%

Contents

    Text

    Size
    100%
    Theme
    Typeface
    Line length
    Spacing

    From LibreTexts, under CC BY-SA 4.0, as the source states it; its equations are written in TeX, which the PDF shows typeset. This page at LibreTexts.

    Complement Rules: P(A) + P(AC) = 1

    P(A) = 1 – P(AC)

    P(AC) = 1 – P(A)

    		 Mutually Exclusive Events: P(A ∩ B) = 0
    Union Rule: P(A U B) = P(A) + P(B) – P(A ∩ B) Independent Events: P(A ∩ B) = P(A) ‧ P(B)
    Intersection Rule: P(A ∩ B) = P(A) ‧ P(B|A) Conditional Probability Rule: \(P(A \mid B)=\frac{P(A \cap B)}{P(B)}\)
    Fundamental Counting Rule: m1·m2···mn Factorial Rule: n! = n·(n – 1)·(n – 2)···3·2·1
    Combination Rule: \({ }_{\mathrm{n}} \mathrm{C}_{\mathrm{r}}=\frac{n !}{(r !(n-r) !)}\) Permutation Rule: \({ }_{\mathrm{n}} \mathrm{P}_{\mathrm{r}}=\frac{n !}{(n-r) !}\)

    This page titled 4.8: Chapter 4 Formulas was last modified on Sun, 12 Mar 2023 17:55:04 GMT and is shared under a CC BY-SA 4.0 license and was authored, remixed, and/or curated by Rachel Webb via source content that was edited to the style and standards of the LibreTexts platform.