2-Set Venn Diagrams

2-Set Probability Problems

Venn Diagram

Student Survey

Events:

A: Student (P = 0.6)

B: Employed (P = 0.4)

Given Constraints:

P(A ∩ B) = 0.15

4 Possible Outcomes:

#1: A∩B= Student AND Employed

0.150

#2: A∩Bᶜ= Student AND NOT Employed

0.450

#3: Aᶜ∩B= NOT Student AND Employed

0.250

#4: Aᶜ∩Bᶜ= NOT Student AND NOT Employed

0.150

• Click segments to select/deselect

• Hover to preview outcomes

• All 4 segments sum to 1.0

Basic Two-Set Operations

Key Probability Concepts

Interactive Examples

Understanding 2-Set Venn Diagrams

Two-set Venn diagrams visualize the relationship between two events A and B. They help understand fundamental concepts like intersection (A ∩ B), union (A ∪ B), and complements.

Basic Two-Set Operations

Two-set Venn diagrams consist of four distinct regions: A only, B only, A ∩ B (intersection), and the complement (neither A nor B).

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Key Probability Concepts

Use 2-set diagrams to visualize P(A ∪ B) = P(A) + P(B) - P(A ∩ B) and understand conditional probability P(A|B).

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Interactive Examples

Adjust the diagram regions to see how probabilities change. Each region represents a unique outcome in the sample space.

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