Certain event

noun

noun ·Rare ·Advanced level

Definitions

Noun
  1. 1
    An event that contains all of the possible outcomes and thus is known a priori to be certain to occur;

    "Measure 0 is assigned to an impossible event, and measure 1 is assigned to a certain (sure) event. A certain event is denoted as #92;Omega; an impossible event, as #92;empty."

  2. 2
    An event that contains all of the possible outcomes and thus is known a priori to be certain to occur; (more formally) the entire sample space (which by definition has measure 1 and probability 1); said sample space with the exclusion of, at most, a set of measure 0 (thus retaining measure 1).; the entire sample space (which by definition has measure 1 and probability 1); said sample space with the exclusion of, at most, a set of measure 0 (thus retaining measure 1).

Example

More examples

"Measure 0 is assigned to an impossible event, and measure 1 is assigned to a certain (sure) event. A certain event is denoted as #92;Omega; an impossible event, as #92;empty."

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