Further Venn Diagrams (AQA A-Level Mathematics): Quizzes

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Further Venn Diagrams
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What does the notation A∩BA \cap B represent in set theory?

Elements common to both AA and BB

What does A∪BA \cup B represent?

Elements in AA or BB (or both)

In a two-set Venn diagram, what does the overlapping region represent?

A∩BA \cap B

What is the formula for P(A∪B)P(A \cup B)?

P(A)+P(B)−P(A∩B)P(A) + P(B) - P(A \cap B)

What is the formula for the complement of event AA?

P(A′)=1−P(A)P(A') = 1 - P(A)

Why is P(A∩B)P(A \cap B) subtracted in the union formula?

A∩BA \cap B is counted twice

In a class of 40: 25 study Maths, 20 study Physics, 10 both. Find P(M∪P)P(M \cup P).

0.875

In the class example, how many students study neither Maths nor Physics?

5

In the three-event union formula, why is P(A∩B∩C)P(A \cap B \cap C) added back?

It's subtracted three times

Survey of 100: 40 Tea, 50 Coffee, 30 Juice; 15 T&C, 10 T&J, 8 C&J, 5 all. How many like exactly one?

69

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