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Flip to reveal answersWhat does A ∪ B mean?
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All 9 Flashcards — Venn diagrams
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Question
What does A ∪ B mean?
Answer
The union — elements in A or B (or both).
Question
What does A ∩ B mean?
Answer
The intersection — elements in both A and B.
Question
What does A′ mean?
Answer
The complement — elements not in A.
Question
When filling a Venn diagram, what do you fill first?
Answer
The intersection (the 'both' region), then work outward.
Question
How do you get 'only A' from n(A) and the overlap?
Answer
Only A = n(A) − n(A ∩ B).
Question
How do you find a probability from a Venn diagram?
Answer
Region count ÷ total in the universal set.
Question
State the addition rule.
Answer
P(A ∪ B) = P(A) + P(B) − P(A ∩ B).
Question
Why does the addition rule subtract P(A ∩ B)?
Answer
So the overlap (in both A and B) isn't counted twice.
Question
What is P(A ∪ B) for mutually exclusive events?
Answer
P(A) + P(B), because P(A ∩ B) = 0.
Read the notes
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Topic 4.6 hub
Combined & conditional events
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