• Mathematics Extension 1
  • Year 12


approx. 7 hrs

3 topics

15 concepts

Gain a comprehensive understanding of Probability and approach your exams with confidence.

Available in


This learning program covers the essential components of the Year 12 Mathematics Extension 1 topic, Probability, as outlined in the NSW Mathematics Syllabus.  Students are taught to select and apply probability techniques to solve a variety of problems and 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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