Venn Diagrams (Edexcel A-Level Mathematics): Quizzes

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Venn Diagrams
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What is the primary purpose of a Venn diagram?

To represent relationships between sets

In a Venn diagram, what does the overlapping area between two circles represent?

Elements common to those sets

What does the union in a Venn diagram represent?

All elements in any of the sets

What does the complement of a set represent in a Venn diagram?

Elements not in that set

What does the notation (A∪B)(A \cup B) represent?

Elements in A, B, or both

If 30 play football, 25 play basketball, and 15 play both, how many play only football?

15

What is the formula for conditional probability P(A∣B)P(A|B)?

P(A∩B)P(B)\frac{P(A \cap B)}{P(B)}

Given P(A∩B)=0.12P(A \cap B) = 0.12 and P(B)=0.40P(B) = 0.40, what is P(A∣B)P(A|B)?

310\frac{3}{10}

What does P(A∣B)P(A|B) mean?

Probability A occurs, given B occurs

How many circles are used in a Venn diagram with three sets?

Three overlapping circles

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