Set Notation & Conditional Probability (Edexcel A-Level Mathematics): Quizzes

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Set Notation & Conditional Probability
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What does the empty set ∅\emptyset contain?

No elements

What does A∩BA \cap B represent?

Elements common to both A and B

What does A∪BA \cup B represent?

Elements in A or B or both

What does A′A' represent?

All elements not in A

If events A and B are mutually exclusive, what is P(A∩B)P(A \cap B)?

00

For independent events A and B, which formula is correct?

P(A∩B)=P(A)P(B)P(A \cap B) = P(A)P(B)

If A={1,2,4}A = \{1, 2, 4\}, what is n(A)n(A)?

33

What region does A′∩B′A' \cap B' represent?

Overlapping region of complements

In a two-way table with 75 students, 2 study neither S nor H. What is P(S′∩H′)P(S' \cap H')?

275\frac{2}{75}

If P(A′)=0.75P(A') = 0.75, P(C)=0.45P(C) = 0.45, P(A′∩C)=0.35P(A' \cap C) = 0.35, are A′A' and CC independent?

No, as 0.75×0.45≠0.350.75 \times 0.45 \neq 0.35

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