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IB Math AA/AI – Topic 4: Probability (Part 1)

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About Course

This course covers Part 1 of Topic 4: Probability in IB Mathematics: Analysis and Approaches (AA) and applications and interpretations AI.

The focus of this course is on building a strong conceptual and procedural foundation in probability, which is essential for success in both SL and HL.

In this course, students will learn how to:

  • Interpret probability situations clearly

  • Use appropriate representations such as Venn diagrams and tree diagrams

  • Calculate probabilities involving combined events, conditional probability, and independent events

⚠️ Important note:
This course does not include probability distributions (such as binomial or normal distributions). These topics will be covered in a separate follow-up course.

The explanations are aligned with IB command terms, exam-style thinking, and common IB pitfalls, making this course ideal for students preparing for internal assessments, topic tests, and final IB exams.

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What Will You Learn?

  • Interpret and calculate simple probabilities using correct notation
  • Find probabilities of compound events using systematic methods
  • Represent probability situations using Venn diagrams
  • Use tree diagrams to model multi-stage experiments
  • Apply and interpret conditional probability, including
  • P(A∣B)
  • Distinguish clearly between independent and dependent events
  • Choose the most efficient method for solving IB-style probability questions

Course Content

Venn Diagrams
In this topic, students learn how Venn diagrams are used to represent sets and events visually, and how they play a central role in solving probability problems in IB Mathematics. Students will explore: The concept of a universal set and how events are represented as regions Union, intersection, and complement of events using Venn diagrams How to interpret and construct Venn diagrams using numbers and probabilities The difference between mutually exclusive and non-mutually exclusive events How to apply the formula P(A∪B)=P(A)+P(B)−P(A∩B) The topic focuses on IB exam-style questions, helping students translate worded problems into correct Venn diagrams and avoid common mistakes. By the end of this topic, students will be able to confidently use Venn diagrams as a problem-solving tool for combined events and probability calculations.

  • introduction to Venn diagrams
  • Shading in Venn diagrams
    08:52

probability
This topic introduces the fundamental ideas of probability used throughout IB Mathematics. Students learn how to define a sample space, identify events, and calculate basic probabilities using correct notation. also they will use Venn Diagrams and tree diagrams to calculate probabilities

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MOHAMMAD Meshal
4 weeks ago
Great resource , but if you can add more past papers questions on conditional probability as it is very hard
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