Gr 11 Math Ch 10: Venn Diagrams
24 Questions
0 Views

Choose a study mode

Play Quiz
Study Flashcards
Spaced Repetition
Chat to lesson

Podcast

Play an AI-generated podcast conversation about this lesson

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)</p> Signup and view all the answers

    What are events that cannot occur simultaneously?

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

    What is the probability of the complement of event A?

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

    What is the probability of the complement of event A?

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

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

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

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

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

    More Like This

    Use Quizgecko on...
    Browser
    Open
    Browser
    Browser