Gr 10 Math Ch 11: Mutually Excluive Events
18 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 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 (D)</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. (B)</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. (C)</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. (D)</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) (A)</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. (D)</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 (D)</p> Signup and view all the answers

Which of the following scenarios represents mutually exclusive events?

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

Flashcards are hidden until you start studying

More Like This

Use Quizgecko on...
Browser
Open
Browser
Browser