ProbabilityKey Facts

Key Facts

Part of Venn DiagramsGCSE Mathematics

This key facts covers Key Facts within Venn Diagrams for GCSE Mathematics. Revise Venn Diagrams in Probability for GCSE Mathematics with 14 exam-style questions and 12 flashcards. This is a high-frequency topic, so it is worth revising until the explanation feels precise and repeatable. It is section 2 of 6 in this topic. Use this key facts to connect the idea to the wider topic before moving on to questions and flashcards.

Topic position

Section 2 of 6

Practice

14 questions

Recall

12 flashcards

Key Facts

  • Venn Diagram: A visual representation using circles to show relationships between events
  • Universal Set (U): The rectangle containing all possible outcomes
  • Intersection (A ∩ B): The overlap region where both events occur
  • Union (A ∪ B): The combined region where at least one event occurs
  • Complement (A'): The region outside event A but inside the universal set
  • Numbers in regions represent frequencies or probabilities

Keep building this topic

Read this section alongside the surrounding pages in Venn Diagrams. That gives you the full topic sequence instead of a single isolated revision point.

Practice Questions for Venn Diagrams

In a Venn diagram with two events A and B, which symbol represents the region where BOTH events occur at the same time?

  • A. A ∩ B
  • B. A ∪ B
  • C. A'
  • D. U
1 markfoundation

A student claims: 'To find P(A ∪ B), you simply add P(A) and P(B).' Explain why this is not always correct, and state the correct formula with a reason.

3 markshigher

Quick Recall Flashcards

What does A ∪ B mean?
The union - outcomes where AT LEAST ONE of event A or event B occurs. Includes only A, only B, and A ∩ B. The ∪ symbol looks like a U for Union.
What does A ∩ B mean?
The intersection - outcomes where BOTH event A AND event B occur. On the diagram it is the overlapping region between the two circles.

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