Gr 10 Math Ch 11: Mutually Excluive Events
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Gr 10 Math Ch 11: Mutually Excluive Events

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Questions and Answers

What defines mutually exclusive events?

  • They are dependent on each other.
  • They can occur simultaneously.
  • They cannot occur at the same time. (correct)
  • They always share at least one common outcome.

    • Which of the following statements about the probability of mutually exclusive events is true?

  • The intersection of two events is equal to the sum of their probabilities.
  • The probability of their union is equal to the sum of their individual probabilities. (correct)
  • The probability of their union is the product of their individual probabilities.
  • The intersection of two mutually exclusive events is never empty.

    • In a Venn diagram representing mutually exclusive events, what does the intersection represent?

  • An empty set indicating no shared outcomes. (correct)
  • The combined outcome probabilities of both events.
  • The total probability of both events occurring.
  • The elements that belong to both events.

    • If event A has a probability of 0.3 and event B has a probability of 0.5, what is the probability of A union B?

    <p>0.8</p> Signup and view all the answers

    Which scenario illustrates mutually exclusive events?

    <p>Choosing a color from a set of red or blue and getting both colors.</p> Signup and view all the answers

    Which representation correctly illustrates mutually exclusive events in a Venn diagram?

    <p>Two circles that do not overlap at all.</p> Signup and view all the answers

    Which statement accurately describes the relationship between two mutually exclusive events?

    <p>If one event occurs, the other cannot.</p> Signup and view all the answers

    What is the correct expression for the probability of the union of two mutually exclusive events?

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

    In a Venn diagram for mutually exclusive events, what does the absence of overlap between sets A and B indicate?

    <p>The events are mutually exclusive.</p> Signup and view all the answers

    If event A has a probability of 0.4 and event B has a probability of 0.2, while being mutually exclusive, what is the probability of A union B?

    <p>0.6</p> Signup and view all the answers

    Which of the following scenarios represents mutually exclusive events?

    <p>A student passing or failing an exam.</p> Signup and view all the answers

    How can you visually represent mutually exclusive events in a Venn diagram?

    <p>Circles that do not overlap at all.</p> Signup and view all the answers

    In terms of mutually exclusive events, which of the following statements is false?

    <p>The intersection of events A and B is always non-empty.</p> Signup and view all the answers

    If event A occurs with a probability of 0.6 and event B occurs with a probability of 0.4, what is the probability of the union of A and B, assuming they are mutually exclusive?

    <p>1.0</p> Signup and view all the answers

    Which of the following scenarios does NOT represent mutually exclusive events?

    <p>Rolling a die resulting in an even number or an odd number.</p> Signup and view all the answers

    What implication does the notation $P(A ext{ intersection } B) = ext{empty set}$ have for events A and B?

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

    In a Venn diagram for mutually exclusive events, which graphical representation is correct?

    <p>Two circles completely separate from one another.</p> Signup and view all the answers

    If events A and B are represented as mutually exclusive in a Venn diagram, which of the following must hold true?

    <p>The total probability of all events equals 1.0.</p> Signup and view all the answers

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