Calculating Theoretical Probability
Mathematics · Year 7 · Probability · 3o Periodo

Calculating Theoretical Probability

Calculate the exact probability of a single event happening when all outcomes are equally likely. Express these probabilities mathematically.

National Curriculum Attainment TargetsDfE National Curriculum Mathematics Key Stage 3: Probability;Generate theoretical sample spaces for single and combined events with equally likely, mutually exclusive outcomes and use these to calculate theoretical probabilities.

About This Topic

Calculate the exact probability of a single event happening when all outcomes are equally likely. Express these probabilities mathematically.

Key Questions

  1. How do we calculate the theoretical probability of a single event?
  2. What information do we need to find the probability of drawing a specific card from a deck?
  3. How does the number of successful outcomes relate to the total number of possible outcomes?

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Planning templates for Mathematics

Lesson Plan

5E Model

The 5E Model structures lessons through five phases (Engage, Explore, Explain, Elaborate, and Evaluate), guiding students from curiosity to deep understanding through inquiry-based learning.

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Plan a multi-week math unit with conceptual coherence: from building number sense and procedural fluency to applying skills in context and developing mathematical reasoning across a connected sequence of lessons.

Rubric

Math Rubric

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More in Probability

The Language of Probability

Explore the vocabulary used to describe the likelihood of events occurring. Discuss what makes an event certain, impossible, or equally likely.

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The Probability Scale

Map the likelihood of events onto a numerical scale from 0 to 1. Represent probabilities using fractions, decimals, and percentages.

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Experimental Probability and Relative Frequency

Conduct experiments to find the relative frequency of an event. Compare these experimental results with theoretical probabilities.

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Mutually Exclusive Events

Understand that mutually exclusive events cannot happen at the same time. Learn that the sum of probabilities for all mutually exclusive outcomes is exactly 1.

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Sample Space Diagrams

Systematically list all possible outcomes for single and simple combined events. Use tables and diagrams to organise these sample spaces.

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