Gr12 Mathematics: Ch 9.2 Tools and Techniques
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Questions and Answers

What is the purpose of a Venn diagram in probability?

  • To organize and visualize possible outcomes of a sequence of events
  • To calculate the product of probabilities along the branches of a sequence
  • To show how events are related to one another (correct)
  • To determine the complementary events

    • What is the formula to calculate the probability of mutually exclusive events?

  • P(A and B) = P(A) × P(B)
  • P(A or B) = P(A) + P(B) (correct)
  • P(A) = 1 - P(B)
  • P(not A) = 1 - P(A)

    • What is the purpose of a two-way contingency table in probability?

  • To keep a record of the counts or percentages in a probability problem (correct)
  • To calculate the complementary events
  • To visualize the different possible outcomes of a sequence of events
  • To determine the sample space of an event

    • What does the symbol S represent in probability?

    <p>The set of all possible outcomes</p> Signup and view all the answers

    What is the formula to calculate the probability of a complementary event?

    <p>P(not A) = 1 - P(A)</p> Signup and view all the answers

    What type of diagram is used to organize and visualize the different possible outcomes of a sequence of events?

    <p>Tree diagram</p> Signup and view all the answers

    What is the purpose of a tree diagram in probability?

    <p>To calculate the product of probabilities along the branches of a sequence</p> Signup and view all the answers

    What is an event in probability?

    <p>A subset of the sample space</p> Signup and view all the answers

    What is represented by the region inside a shape in a Venn diagram?

    <p>Outcomes included in the event</p> Signup and view all the answers

    What is the advantage of using a two-way contingency table in probability?

    <p>To determine whether events are dependent or independent</p> Signup and view all the answers

    What is the formula to calculate the probability of event A or event B, if they are mutually exclusive?

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

    What is the term for an event that is the set of all possible outcomes except for event A?

    <p>Complementary event</p> Signup and view all the answers

    What is the symbol used to represent the number of elements in set A?

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

    What is the purpose of a tree diagram in probability?

    <p>To organize and visualize the different possible outcomes of a sequence of events</p> Signup and view all the answers

    What is the sample space in probability?

    <p>The set of all possible outcomes</p> Signup and view all the answers

    What is the probability of event A or event B, if they are complementary?

    <p>$1$</p> Signup and view all the answers

    In a Venn diagram, what does the region outside a shape represent?

    <p>The outcomes not included in the event</p> Signup and view all the answers

    What is the primary purpose of a two-way contingency table?

    <p>To determine whether events are dependent or independent</p> Signup and view all the answers

    What is the relationship between the events in a sample space?

    <p>They are not necessarily related</p> Signup and view all the answers

    What is the probability of event A or event B, if they are complementary?

    <p>1</p> Signup and view all the answers

    What is the product of the probabilities along the branches of a sequence of outcomes in a tree diagram?

    <p>The total probability of the sequence</p> Signup and view all the answers

    What is the symbol used to represent the probability of event A?

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

    What is the term for events that cannot happen at the same time?

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

    What is the formula to calculate the probability of a sequence of outcomes in a tree diagram?

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

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