Basic Probability (AQA A-Level Mathematics): Quizzes

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Venn Diagrams
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What is the main purpose of Venn diagrams?

To represent relationships between sets

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

Elements in both sets

What does the union in a Venn diagram represent?

All elements in any of the sets

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

Elements not in set AA

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

Elements in AA, BB, or both

What does the notation (A∩B)(A \cap B) represent?

Elements in both AA and BB

30 students play football, 25 play basketball, 15 play both. How many play only football?

15

In a three-set Venn diagram, what does the area where all three circles overlap represent?

Elements in all three sets

What does P(A∣B)P(A | B) mean in probability?

Probability of AA given BB occurs

If P(A∩B)=0.12P(A \cap B) = 0.12 and P(B)=0.4P(B) = 0.4, what is P(A∣B)P(A | B)?

0.30.3

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