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

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

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

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

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

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

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

    What is the purpose of a tree diagram?

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

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

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

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

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

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

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

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

    <p>0</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</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</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</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</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</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</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.</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</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</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</p> Signup and view all the answers

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

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

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

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

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

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

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