Mutually Exclusive and Complementary Events (Grade 10 NSC Matric Mathematics): Quizzes

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Mutually Exclusive and Complementary Events
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What defines mutually exclusive events?

Events that cannot happen at same time

What is the formula for P(A∪B)P(A ∪ B) when events A and B are mutually exclusive?

P(A)+P(B)P(A) + P(B)

What is P(A∩B)P(A ∩ B) for mutually exclusive events A and B?

∅∅ (empty set)

How do mutually exclusive events appear in a Venn diagram?

Separate circles that don't overlap

What is the complement of event A denoted as?

A′A' or not(A)

What is the relationship between P(A)P(A) and P(A′)P(A') for complementary events?

P(A)+P(A′)=1P(A) + P(A') = 1

What does A∪A′=SA ∪ A' = S mean for complementary events?

Together they cover entire sample space

What key difference distinguishes complementary from general mutually exclusive events?

Complementary must cover entire sample space

Rolling two dice: if at least one shows 1, what's the maximum possible sum?

77

When should you use P(A∪B)=P(A)+P(B)P(A ∪ B) = P(A) + P(B) instead of P(A∪B)=P(A)+P(B)−P(A∩B)P(A ∪ B) = P(A) + P(B) - P(A ∩ B)?

Only when events are mutually exclusive

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