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Sets and Venn Diagrams

Probability and Statistics Sets and Venn Diagrams

🎬 Video Tutorial

(0:01) What is a Set (Definition and Notation)?: A set is a collection of unique elements, represented with capital letters and curly brackets. In Venn diagrams, the universal set $(U)$ contains all possible elements.
(0:24) What is a Venn Diagram?: A Venn Diagram visually represents relationships between sets. For example, overlapping areas indicate shared elements (e.g., students like both chocolate and vanilla flavours).
(2:02) Union and Intersection (“Or” / “And” Symbols): The union (A or B, $A \cup B$) combines all elements in both sets, while the intersection (A and B, $A \cap B$) includes only shared elements.

📂 Revision Cards

Introduction to sets showing a set A = {1, 3, 5, 7} defined as a collection of distinct objects, with no repeated elements and order doesn't matter. — 1) What is a Set?

Venn diagram showing ice cream preferences of 30 students, with 15 liking chocolate, 10 liking vanilla, and 5 not liking either flavour. — 2) Venn Diagram (Notation)

Venn diagram showing the intersection and union of students who like chocolate and vanilla flavour, with definitions and notations for set operations. — 3) Venn Diagram (Example)

Venn diagram showing ice cream preferences with 4 liking chocolate, 8 liking vanilla, 10 liking both, and 6 not liking either. Total students are 28. — 4) Venn Diagram (Practice)

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