• Mathematical Methods
  • Year 12


approx. 7 hrs

3 topics

16 concepts

Deepen your understanding of Probability and gain the skills to approach your examinations with confidence.

Available in


The Year 12 Probability program addresses outcomes from the Statistics and Probability strand in the Australian curriculum. We give students the skills to select and apply techniques of probability to solve a variety of problems, communicate effectively using appropriate mathematical language, notation and diagrams. 

Topics & Concepts We Cover

This learning program is made up of the following 3 topics, broken down into 16 concepts.

  • Multi-Stage Events 9 concepts

    1. Illustrate a probability problem using a Karnaugh map

    2. Addition rule of successive events

    3. Product rule of independent events

    4. Apply the formula for non-mutually exclusive events

    5. Use Venn diagrams to calculate probabilities

    6. Find the complement of a multi-stage event

    7. Using arrays for two-step experiments

    8. Use two-way tables to calculate probabilities

    9. Using tree diagrams for multi-stage events

  • Independent and Dependent Events 2 concepts

    1. Apply the rule for dependent events

    2. Classify an event as dependent or independent

  • Single-step and Compound Events 5 concepts

    1. Fundamental formula for probability

    2. Calculate the theoretical probability of a single-step event

    3. Calculate the complement of a single-step event

    4. Calculate the theoretical probability of a single-step compound event

    5. Calculate relative frequency from an experiment

What you'll get

Learning Content

  • A customised learning plan to suit your needs, adapting to your pace as you learn, progress and achieve mastery
  • All the content required to help you master the syllabus, including theory, worked examples, exam preparation and practice questions

An Expert Tutor

  • We match you to a private, expert tutor who is right for your needs and goals
  • Our tutors are talented, tested, top ATAR achievers and subject experts
  • During each session, your tutor guides you through your learning program, providing real-time, live expert tutoring in Probability


  • Access information at every stage showing what's been mastered, what areas need to be worked on and what's next
  • You and your parents receive a comprehensive feedback report after every session
  • Every session is recorded and available for you to watch at any time, allowing you to review what was covered

Ready to start this program?

Simply pick a time that works for you

Add your payment details securely online

We'll book in your first session and match you to an expert tutor

Starting at

$49(inc. GST)

per session

Fully flexible

PAYG and bundle plans

Use anytime

Access to practice questions

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