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 (D)</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) (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 (D)</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 (C)</p> Signup and view all the answers

What is an event in probability?

<p>A subset of the sample space (B)</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 (C)</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 (B)</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>$P(A) + P(B)$ (A)</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 (D)</p> Signup and view all the answers

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

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

What is the sample space in probability?

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

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

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

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

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

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

<p>1 (C)</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 (B)</p> Signup and view all the answers

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

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

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

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

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