Unit 6: Probability & Chance: Quantifying Uncertainty - IB 8 Mathematics (Standard)
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Unit 6: Probability & Chance: Quantifying Uncertainty

Unit 6: Probability & Chance: Quantifying Uncertainty

Probability quantifies uncertainty, enabling informed predictions and decision-making in various contexts. The chapter covers theoretical probability based on logical reasoning, experimental probability derived from actual experiments, and independent events, along with their relationships using Venn diagrams. By understanding these concepts, learners can apply mathematical principles to evaluate the likelihood of various outcomes effectively.

11 sections

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Sections

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  1. 6
    Probability & Chance: Quantifying Uncertainty

    This section explores the fundamentals of probability and how it helps us...

  2. 1
    Theoretical Probability: What Should Happen?

    This section introduces theoretical probability, emphasizing its role in...

  3. 1.1
    Calculating Probability Of Simple Events

    This section introduces the concept of calculating the probability of simple...

  4. 1.2
    Understanding The Probability Scale (From 0 To 1)

    This section introduces the concept of the probability scale, explaining how...

  5. 2
    Experimental Probability: What Actually Happened?

    This section covers experimental probability, focusing on real-world results...

  6. 2.1
    Conducting Experiments And Calculating Experimental Probability

    This section focuses on understanding experimental probability through...

  7. 3
    Comparing Theoretical And Experimental Probability

    This section explores the relationship between theoretical and experimental...

  8. 4
    Probability Of Independent Events: Multiple Choices, Multiple Outcomes

    This section introduces the concept of independent events in probability,...

  9. 4.1
    Using Tree Diagrams Or Lists To Find Outcomes And Probabilities

    This section introduces tree diagrams and lists as effective tools for...

  10. 5
    Venn Diagrams For Simple Events

    Venn diagrams are visual tools that depict relationships between different...

  11. 5.1
    Constructing And Interpreting Venn Diagrams

    Venn diagrams provide a visual representation of the relationships between...

What we have learnt

  • Probability allows quantifying uncertainty and aiding in decision-making.
  • Theoretical probability is calculated based on logical reasoning and assumes equally likely outcomes.
  • Experimental probability is observed from real experiments.
  • Independent events do not influence each other, allowing for multiplicative probability calculations.
  • Venn diagrams illustrate relationships between different probability events.

Key Concepts

-- Outcome
A single possible result of an experiment or event.
-- Event
The occurrence of one or more outcomes.
-- Sample Space
The set of all possible outcomes of an experiment.
-- Theoretical Probability
The probability of an event based on logical consideration of all possible outcomes.
-- Experimental Probability
The probability calculated from actual experiment data.
-- Independent Events
Events where the outcome of one does not affect the outcome of another.
-- Venn Diagram
A visual representation of the relationships between different groups of outcomes.

Additional Learning Materials

Supplementary resources to enhance your learning experience.