probability concept
| Definition | The fraction of repetitions in which an event would occur if the experiment were repeated without end, a number between zero and one, obeying the complement rule and the addition rule. Primer S, equation S.1. |
|---|---|
| Example | Two fair dice sum to seven in 6 of the 36 ordered pairs, probability one sixth. |
| Book | Data Mining as Observation, draft 0.2, commit f3914f0; entry id probability, kind concept. |
| Status | no ledger row names this entry. Corrections: none recorded. |
| Defining equation | Book equation S.1. |
| Assumptions and scope | none |
| Prior art | none recorded |
| Evidence | none |
| Reviewed | semantic review 2026-09-09; generated 2026-09-10 from records at the commits on the provenance page. |
Equation
Book equation S.1.
\[\Pr[A^{c}]=1-\Pr[A],\qquad \Pr[A\cup B]=\Pr[A]+\Pr[B]-\Pr[A\cap B].\]
Conditions
none
Ledger
none
First stated
Primer S section S.1 of Data Mining as Observation, added in draft 0.3 (2026-09-09) for the ECE 514 readers whose first courses are far behind. The idea is standard and TSK Appendix C covers it at length.
Measurements
none
Failures and corrections
none
Invariance envelope
none declared
Machine checked
none
Used in
Data Mining as Observation primer S, chapters 0, 2, 3, 6, 7, 8, 13, 14.
Related
event; conditional probability; random variable; independence.
See also
none
Status
Generated 2026-09-10 by encyclopedia/generate.py; book
at observation-data-mining f3914f0; the commit of every record is listed
in the encyclopedia’s provenance.