Contingency Tables (Grade 11 NSC Matric Mathematics): Flashcards

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Contingency Tables
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Contingency table

Tool for organising data in probability problems

Purpose of contingency tables

Determine if events are dependent or independent

Two-way contingency table

Shows 2 events & their complements (4 combinations total)

First step working with contingency tables

Complete the table by filling in all missing values

Conditional probability denominator

The subset given by the condition

Joint probability denominator

Total sample size

Independence formula for events A and B

P(A and B)=P(A)×P(B)P(A \text{ and } B) = P(A) \times P(B)

When P(A and B)=P(A)×P(B)P(A \text{ and } B) = P(A) \times P(B)

Events are independent

When P(A and B)≠P(A)×P(B)P(A \text{ and } B) \neq P(A) \times P(B)

Events are dependent

P(positive if female)P(\text{positive if female}) formula

females positivetotal females\frac{\text{females positive}}{\text{total females}}

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