Gr 10 Math lit: Ch 7.1 Probability, Expression and Representation

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Questions and Answers

What is the probability of rain if it rained on 60 out of 100 days with similar weather conditions?

  • 40%
  • 50%
  • 60% (correct)
  • 30%

What is the formula for calculating the probability of an event E?

  • P(E) = Total number of possible outcomes / Number of favourable outcomes
  • P(E) = 1 - Number of favourable outcomes
  • P(E) = 1 / (Number of favourable outcomes)
  • P(E) = Number of favourable outcomes / Total number of possible outcomes (correct)

What is the purpose of a tree diagram?

  • To calculate the relative frequency of an event
  • To show the outcomes of two events
  • To show all possible outcomes of an event or series of events (correct)
  • To show the probability of a single event

What is the formula for calculating the complement of an event E?

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

What is the purpose of a two-way table?

<p>To show the outcomes of two events, making it easier to calculate combined probabilities (A)</p> Signup and view all the answers

What is the formula for calculating the relative frequency of an event?

<p>Relative Frequency = Number of times an event occurs / Total number of trials (C)</p> Signup and view all the answers

What value on the probability scale represents an event that is very unlikely to occur?

<p>0.2 (A)</p> Signup and view all the answers

Which type of game ensures an equal chance of winning or losing?

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

What is the theoretical probability of rolling a multiple of 3 on a fair six-sided die?

<p>1/3 (C)</p> Signup and view all the answers

What is the relative frequency of getting tails when flipping a coin 8 times and getting 3 tails?

<p>5/8 (B)</p> Signup and view all the answers

Which outcome would be part of the event 'rolling a prime number' on a fair six-sided die?

<p>5 (C)</p> Signup and view all the answers

If an event on the probability scale is at 0.8, how would you describe its likelihood?

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

Which type of game can be described as having a disadvantage for one player due to biased rules in favor of the other player?

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

What type of probability describes the chance of an event based on calculations rather than experimental results?

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

What is the probability of an event that is certain to occur?

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

What is the term for the number of times an event occurs in a trial?

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

What is the purpose of a tree diagram?

<p>To show all possible outcomes of an event (D)</p> Signup and view all the answers

What is the term for the collection of one or more outcomes?

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

What is the probability of an event that is very likely to occur?

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

What type of probability is based on the actual results of an experiment?

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

What is the term for a game that is weighted to favor one player over another?

<p>Unfair Game (B)</p> Signup and view all the answers

What is the probability of an event that is impossible to occur?

<p>0 (C)</p> Signup and view all the answers

What is the primary purpose of analyzing past weather data in making weather predictions?

<p>To determine the probability of a particular weather event (D)</p> Signup and view all the answers

Which of the following is an example of a favourable outcome?

<p>It rains on a particular day (A)</p> Signup and view all the answers

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

<p>To show the probability of two independent events (C)</p> Signup and view all the answers

If P(E) is 0.7, what is the probability of the complement of event E?

<p>0.3 (B)</p> Signup and view all the answers

What is the main difference between a tree diagram and a two-way table?

<p>A tree diagram is a visual representation, while a two-way table is a numerical representation (C)</p> Signup and view all the answers

What is the term for the number of times an event occurs divided by the total number of trials?

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

What is the primary distinction between theoretical probability and relative frequency?

<p>Theoretical probability is based on calculations, while relative frequency is based on experiments. (D)</p> Signup and view all the answers

What is the purpose of using a tree diagram in probability?

<p>To visualize all possible outcomes of an event (C)</p> Signup and view all the answers

What is the probability of an event that is certain to occur on the probability scale?

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

Which of the following is an example of an unfair game?

<p>A lottery draw with biased rules (B)</p> Signup and view all the answers

What is the term for the collection of one or more outcomes in probability?

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

What is the primary purpose of using probability in weather predictions?

<p>To make accurate weather forecasts (A)</p> Signup and view all the answers

Which of the following is an example of a combined outcome?

<p>Rolling an even number on a fair six-sided die (A)</p> Signup and view all the answers

What is the term for the number of times an event occurs in a trial?

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

What is the primary purpose of calculating the probability of an event?

<p>To determine the likelihood of an event occurring in the future (A)</p> Signup and view all the answers

What is the key difference between the probability of an event and its relative frequency?

<p>The probability is based on theoretical calculations, while relative frequency is based on experimental results (A)</p> Signup and view all the answers

What is the purpose of using a two-way table in probability calculations?

<p>To show the relationship between two events (D)</p> Signup and view all the answers

What is the probability of the complement of an event if P(E) = 0.4?

<p>0.6 (A)</p> Signup and view all the answers

Why are tree diagrams and two-way tables used in probability?

<p>To visualize all possible outcomes of combined events (D)</p> Signup and view all the answers

What is the key concept behind weather prediction using past weather data?

<p>Analyzing past weather data to predict future outcomes (A)</p> Signup and view all the answers

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