Probability and Likelihood Concepts
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Questions and Answers

What is probability a measure of?

  • Possibility of an event happening
  • Likelihood of an event happening (correct)
  • Certainty of outcomes
  • Frequency of events occurring
  • How is probability expressed?

  • Using words like impossible or likely
  • As a whole number
  • By counting the total number of outcomes
  • As a ratio of desired outcomes to possible outcomes (correct)
  • Which step is NOT involved in finding probability?

  • Identify possible outcomes
  • Assign a probability scale (correct)
  • Identify desired outcomes
  • Express the ratio of desired to possible outcomes
  • How is likelihood described?

    <p>Through words like impossible, unlikely, equally likely, likely, or certain</p> Signup and view all the answers

    What does probability help determine and describe?

    <p>The likelihood of events occurring</p> Signup and view all the answers

    What is the range of possible probability values?

    <p>0 to 1</p> Signup and view all the answers

    Which of the following is not a step in finding the probability of an event?

    <p>Determine the likelihood of the event</p> Signup and view all the answers

    If an event has a $50%$ likelihood, how would it be described on the likelihood scale?

    <p>Equally likely</p> Signup and view all the answers

    Which of the following is the best description of probability?

    <p>A measure of how likely an event is to happen</p> Signup and view all the answers

    If a spinner has 4 equal sections of different colors, what is the probability of spinning a specific color?

    <p>$\frac{1}{4}$</p> Signup and view all the answers

    Study Notes

    • Probability is a measure of how likely an event is to happen, ranging from 0 to 1.
    • Probability is expressed as a ratio of desired outcomes to possible outcomes, written as a fraction or decimal.
    • Three steps to find probability: identify possible outcomes, identify desired outcomes, express the ratio of desired to possible outcomes.
    • Likelihood is the chance of an event happening, described using words like impossible, unlikely, equally likely, likely, or certain.
    • Likelihood scale: Impossible (0%), Equally likely (50%), Likely (75%), Certain (100%).
    • Practice example: Determining the likelihood of outcomes when spinning a spinner with different colored sections.
    • Practice example: Describing the likelihood of outcomes when picking marbles from a jar with pink, green, and blue marbles.
    • Probability helps determine and describe the likelihood of events occurring, using specific language to convey different levels of likelihood.

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    Description

    Explore the fundamental concepts of probability and likelihood, including how to determine the likelihood of events happening and expressing probabilities as ratios. Practice examples involve spinning a spinner with different colored sections and picking marbles from a jar with multiple colors.

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