Probability & Statistics PG

Postgraduate | 2026

Course page banner
Mode icon
Mode
Mode
Your studies will be on-campus, and may include some online delivery
On campus
area/catalogue icon
Area/Catalogue
MATH 5026
Course ID icon
Course ID
207594
Campus icon
Campus
Adelaide City Campus
Level of study
Level of study
Postgraduate
Unit value icon
Unit value
6
Course owner
Course owner
Adelaide University
Course level icon
Course level
5
Work Integrated Learning course
Work Integrated Learning course
No
Study abroad and student exchange icon
Inbound study abroad and exchange
Inbound study abroad and exchange
The fee you pay will depend on the number and type of courses you study.
No
University-wide elective icon
University-wide elective course
No
Single course enrollment
Single course enrolment
No

Course overview

In this course, you will get an introduction to probability theory, random variables and Markov processes. You will learn how to deal with modelling uncertainty, which has direct real-world application in areas such as genetics, finance and telecommunications. It is also the basis for many other areas in mathematical sciences, including statistics, modern optimisation methods and risk modelling.

Course learning outcomes

  • Demonstrate an understanding of basic probability axioms; the rules and moments of discrete and continuous random variables.
  • Derive the probability density function (PDF) of transformations of random variables and generate data from various distributions.
  • Calculate probabilities and derive the marginal and conditional distributions of bivariate random variables.
  • Find equilibrium probablity distributions.
  • Calculate probabilities of absorption and expected hitting times for discrete time Markov chains with absorbing states.

Prerequisite(s)

  • must have completed MATH5113 Mathematical Foundations of Data Science

Corequisite(s)

N/A

Antirequisite(s)

  • must not have completed MATHS7103 Probability & Statistics PG at the University of Adelaide

Assumed knowledge

N/A

Textbook(s)

N/A

Inherent requirements

N/A

Other resources

N/A

Assessment

N/A

Fee calculator

To display course fees, please select your status and program below:

We’re updating this Fee Calculator. It currently shows fees for programs only. Please check the relevant program for full fee details.

Study Abroad student tuition fees are available here.

Only some Postgraduate Coursework programs are available as Commonwealth Supported. Please check your program for specific fee information.

The Student Contribution amount displayed below is for students commencing a new program from 2021 onwards. If you are continuing in a program you commenced prior to 1 January 2021, or are commencing an Honours degree relating to an undergraduate degree you commenced prior to 1 January 2021, you may be charged a different Student Contribution amount from the amount displayed below. Please check the Student Contribution bands for continuing students here. If you are an international student, or a domestic student studying in a full fee paying place, and are continuing study that you commenced in 2025 or earlier, your fees will be available here before enrolments open for 2026.