Gr 11 Math Ch 10: Venn Diagrams

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Questions and Answers

What is the set of all possible outcomes in Venn diagrams?

  • Event
  • Union
  • Intersection
  • Sample Space (correct)

What is the probability rule for the intersection of two independent events?

  • P(A') = 1 - P(A)
  • P(A ∪ B) = P(A) + P(B)
  • P(A ∪ B) = P(A) + P(B) - P(A ∩ B)
  • P(A ∩ B) = P(A) × P(B) (correct)

What is the notation for the set of outcomes that are not in event A?

  • A ∪ B
  • A - B
  • A' (correct)
  • A ∩ B

What is the formula for the probability of the union of three events?

<p>P(A ∪ B ∪ C) = P(A) + P(B) + P(C) - P(A ∩ B) - P(A ∩ C) - P(B ∩ C) (A)</p> Signup and view all the answers

What are events that cannot occur simultaneously?

<p>Mutually Exclusive Events (D)</p> Signup and view all the answers

What is the probability of the complement of event A?

<p>1 - P(A) (A)</p> Signup and view all the answers

What is the probability of the union of two non-mutually exclusive events A and B?

<p>$P(A) + P(B) - P(A \cap B)$ (D)</p> Signup and view all the answers

What is the representation of outcomes common to both events A and B in a Venn diagram?

<p>$A \cap B$ (C)</p> Signup and view all the answers

What is the characteristic of events that satisfies the condition P(A B) = P(A) P(B)?

<p>Independent events (B)</p> Signup and view all the answers

What is the probability of the complement of event A?

<p>$1 - P(A)$ (B)</p> Signup and view all the answers

What is the notation for the union of events A and B?

<p>$A \cup B$ (C)</p> Signup and view all the answers

What is the formula for the probability of the intersection of three events A, B, and C if they are independent?

<p>$P(A) imes P(B) imes P(C)$ (D)</p> Signup and view all the answers

What is the condition for two events to be mutually exclusive?

<p>P(A ∩ B) = 0 (D)</p> Signup and view all the answers

What is the formula for the probability of the union of two events A and B if they are not mutually exclusive?

<p>P(A ∪ B) = P(A) + P(B) - P(A ∩ B) (B)</p> Signup and view all the answers

What is the representation of outcomes in either event A or B or both in a Venn diagram?

<p>A ∪ B (D)</p> Signup and view all the answers

What is the condition for three events to be independent?

<p>P(A ∩ B ∩ C) = P(A) × P(B) × P(C) (B)</p> Signup and view all the answers

What is the formula for the probability of the complement of an event A?

<p>P(A') = 1 - P(A) (B)</p> Signup and view all the answers

What is the characteristic of events that satisfies the condition P(A ∪ B) = P(A) + P(B)?

<p>Mutually exclusive events (B)</p> Signup and view all the answers

What is the condition for the addition rule for mutually exclusive events to be applicable?

<p>Events A and B are mutually exclusive. (B)</p> Signup and view all the answers

If P(A) = 0.3, P(B) = 0.4, and P(A ∩ B) = 0.1, what is the probability of the union of events A and B?

<p>0.6 (B)</p> Signup and view all the answers

What is the representation of outcomes that are not in event A or B in a Venn diagram?

<p>A' ∩ B' (C)</p> Signup and view all the answers

If events A, B, and C are independent, what is the probability of their intersection?

<p>P(A) × P(B) × P(C) (B)</p> Signup and view all the answers

What is the condition for the complement rule to be applicable?

<p>Events A and B are subsets of the sample space. (D)</p> Signup and view all the answers

If P(A) = 0.2, P(B) = 0.3, and P(A ∩ B) = 0.1, what is the probability of the complement of event A?

<p>0.8 (A)</p> Signup and view all the answers

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