• Mathematics Advanced
  • Year 12


approx. 7 hrs

3 topics

15 concepts

Deepen your understanding of and skills in Probability and approach your HSC examinations with confidence.

Available in


Year 12 Mathematics Advanced is aligned with the content from the strand of Statistics and Probability in the NSW Senior Mathematics syllabus.  In this program, students apply various probability techniques to solve a range of problems and learn to 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 15 concepts.

  • 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

  • Multi-Stage Events 8 concepts

    1. Product rule of independent events

    2. Apply the formula for non-mutually exclusive events

    3. Addition rule of successive events

    4. Find the complement of a multi-stage event

    5. Use Venn diagrams to calculate probabilities

    6. Using arrays for two-step experiments

    7. Use two-way tables to calculate probabilities

    8. 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

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

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We'll be in contact to match you with one of our top tutors and book your first session

Starting at

$49(inc. GST)

per session

Fully flexible

PAYG and bundle plans

Use anytime

Access to practice questions

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