Tools and Techniques (Grade 12 NSC Matric Mathematics): Quizzes

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Tools and Techniques
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Which tool is ideal for sequential events where outcomes depend on previous results?

Tree diagrams

What is the critical construction rule for Venn diagrams to avoid calculation errors?

Work from centre intersection outward

In a tree diagram, what must the probabilities of all branches leaving a node sum to?

1

Which formula is the definitive test for independence between events AA and BB?

P(A∩B)=P(A)×P(B)P(A \cap B) = P(A) \times P(B)

What is the correct formula for the union of two events in a Venn diagram?

P(A∪B)=P(A)+P(B)−P(A∩B)P(A \cup B) = P(A) + P(B) - P(A \cap B)

How do you calculate the probability of a complete sequence in a tree diagram?

Multiply probabilities along the path

What appears at the edges of a two-way contingency table?

Marginal totals

What is the formula for the complement of event AA?

P(A′)=1−P(A)P(A') = 1 - P(A)

Which tool is especially powerful for testing independence between categorical variables?

Two-way contingency tables

In a Venn diagram, what represents the sample space containing all possible outcomes?

The outer boundary

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