TeXipedia

Pr

Denotes probability in mathematical and statistical contexts, representing the likelihood of an event occurring.

Overview

Essential in probability theory, statistics, and data analysis for expressing the mathematical probability of events or outcomes.

  • Commonly used in hypothesis testing and probability distributions
  • Appears frequently in research papers, particularly in experimental studies and statistical analysis
  • Often combined with conditional probability notation and set operations
  • Standard notation in machine learning and artificial intelligence literature when discussing probabilistic models

Examples

Calculating the probability of an event A occurring.

Pr⁡(A)=0.75\Pr(A) = 0.75 
\Pr(A) = 0.75

Conditional probability formula showing the probability of A given B.

Pr⁡(A∣B)=Pr⁡(A∩B)Pr⁡(B)\Pr(A|B) = \frac{\Pr(A \cap B)}{\Pr(B)} 
\Pr(A|B) = \frac{\Pr(A \cap B)}{\Pr(B)}

Probability of at least one success in n independent trials.

Pr⁡(at least one)=1−Pr⁡(none)=1−(1−p)n\Pr(\text{at least one}) = 1 - \Pr(\text{none}) = 1 - (1-p)^n 
\Pr(\text{at least one}) = 1 - \Pr(\text{none}) = 1 - (1-p)^n