Introduction to probability with Texas Hold'em examples

Tracking Salinity Sources to Texas Streams: Examples from West Texas and the Texas Gulf Coastal Plain

Upper Colorado River (West Texas) and Petronila Creek (Texas Coastal Plain) salinities exceed state regulatory standards. For a recent study, airborne conductivity surveys located points of saline influx. Hydrochemical analyses defined salinity trends and potential sources. Both streams comprise Na-Cl hydrochemical facies and are near hydrocarbon production operations. Upper Colorado River sali...

Introduction to Probability Theory

In probability theory, we are given a set Ω of outcomes ω, and try to consider the probabilities of subsets A ⊂ Ω, which we call events. To this end, we define a probability measure Pr(·) or μ(·) (we will use each notation interchangably) that is a function from these sets A ⊂ Ω → [0, 1]. As a technical complicate, μ or Pr may only be defined on some of the subsets of Ω, but this will be adress...

Introduction to Probability

The rule of sum says that the number of ways to choose an element from one of two disjoints sets is the sum of the cardinalities of the sets. That is, if A and B are two finite sets with no members in common, then |A ∪B| = |A|+ |B|. The rule of product says that the number of ways to choose an ordered pair is the number of ways to choose the first element from A and the second element from B. T...

Introduction to Probability

Introduction to Probability