Wolfram Computation Meets Knowledge

Complement Probability

In probability theory, the complement of any event A is the event [not A], i.e. the event that A does not occur.

The sum of the probability of A and the probablity of A-complement equals 1.

Formula

QuantityVariable["P(A)", "Unitless"] + QuantityVariable["P(\!\(\*FormBox[TemplateBox[List[StyleBox[\"\\\"A\\\"\", Italic, Rule[StripOnInput, False]], \"\\\"c\\\"\"], \"Superscript\", Rule[SyntaxForm, SuperscriptBox]], TraditionalForm]\))", "Unitless"] == 1

symbol description physical quantity
P(A)
probability of A
"Unitless"
P(FormBox[TemplateBox[{A, "c"}, Superscript, SyntaxForm -> SuperscriptBox], TraditionalForm])
probability of A­complement
"Unitless"

Forms

Examples

Publisher Information