Definition:Classical Probability Model

Definition
The classical probability model is a mathematical model that defines the probability of an event occurring as follows:


 * $\map \Pr {\text {event occurring} } := \dfrac {\paren {\text {number of outcomes favorable to event} } } {\paren {\text {total number of outcomes possible} } }$

or formally:


 * $\map \Pr \omega := \dfrac {\card \Sigma} {\card \Omega }$

where:


 * $\card {\, \cdot \,}$ denotes the cardinality of a set
 * $\omega$ denotes an event
 * $\Sigma$ denotes the event space
 * $\Omega$ denotes the sample space.

This model assumes that all outcomes of the experiment are equally likely and that there are a finite number of outcomes.

Also see

 * Classical Probability is Probability Measure
 * De Méré's Paradox


 * Definition:Relative Frequency Model
 * Definition:Bayesian Probability Model