Math 2.0

Probability theory and stochastic processes Definition

Outcome

Builds on Sample spaceElement

Definition

Let Ω\Omega be a sample space of a random experiment. An outcome of the experiment is an element ω\omega of Ω\Omega.

Remarks

Two different outcomes cannot both happen in one trial. An outcome ω\omega gives the event {ω}\{\omega\}, an elementary event. An outcome and an event are different things: an event is a set of outcomes. For a roll of a die, the outcomes are 1,2,3,4,5,61, 2, 3, 4, 5, 6, and "the result is even" is the event {2,4,6}\{2, 4, 6\}, not an outcome.

Reading path

To understand this page from the ground up, read these 5 pages in order. The foundations come first.

Show the path as a graph
Element, definition, no evidence levelElementdefinitionRandom experiment, concept, no evidence levelRandom experimentconceptSet, definition, no evidence levelSetdefinitionSample space, definition, no evidence levelSample spacedefinitionOutcome, definition, no evidence levelOutcomedefinition
Each page uses the pages above it. The colour of the bar on a box shows how strong the evidence is, and the box also gives it as text. The list has the same pages.
  • no evidence level
  1. Element definition
  2. Random experiment concept
  3. Set definition
  4. Sample space definition
  5. Outcome definition

Further reading

  1. Web https://en.wikipedia.org/wiki/Outcome_(probability), lead section
About this page
Tag0Y5R7TPNT1
URIm2://0Y5R7TPNT1
Kinddefinition
WritingW1 stated
MSC60A05
DefinesOutcome
UsesSample space, Element

Markdown · JSON · Edit on GitHub

What this page needs for W2

  • edge instance_of in: one example (0 of 1)
  • edge not_instance_of in: one non-example that fails one clause (0 of 1)

The writing levels say how complete the text of a page is. They do not measure its truth.

What links here

No page links to this page yet.