Set Theory and Probability (Leaving Cert Mathematics): Quizzes

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Set Theory and Probability
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12 questions from this quiz

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What is a set?

A collection of distinct objects

What does the universal set UU represent?

All possible elements in a context

When is set AA a subset of set BB (A⊆BA \subseteq B)?

When all elements of AA are in BB

What does the union A∪BA \cup B represent?

All elements from sets AA and BB

What does the intersection A∩BA \cap B include?

Elements common to both AA and BB

What is the complement AcA^c?

Elements in UU not in AA

What are disjoint sets?

Sets with no elements in common

What scale does probability use?

From 0 (impossible) to 1 (certain)

What is the sample space SS?

The set of all possible outcomes

What is the addition rule for events AA and BB?

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

What is P(A∪B)P(A \cup B) when AA and BB are disjoint?

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

What is the multiplication rule for independent events AA and BB?

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

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