Basic Probability Concepts
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Questions and Answers

What value does the probability range from?

  • 1 to 10
  • 0 to 1 (correct)
  • -1 to 1
  • 0 to 10
  • In a fair coin toss, what is the probability of getting heads or tails?

  • 1/2 (correct)
  • 1
  • 1/6
  • 1/3
  • For a standard die numbered from 1 to 6, what is the probability of rolling a 3?

  • 1/4
  • 1/6 (correct)
  • 1/3
  • 1/2
  • What do results of trials become closer to as more trials are conducted?

    <p>Expected probabilities</p> Signup and view all the answers

    How should the sum of probabilities for all possible outcomes of a trial total?

    <p>1 or 100%</p> Signup and view all the answers

    How is the probability of an event calculated?

    <p>Desired outcomes / Total possible outcomes</p> Signup and view all the answers

    What must be true about probability values?

    <p>They must fall between 0 and 1 (or 100%)</p> Signup and view all the answers

    Study Notes

    • Probability is a value that tells us how likely an event is to happen, ranging from 0 (impossible) to 1 (certain).
    • In a fair coin toss, the probability of getting heads or tails is 1/2, as each side is equally likely.
    • A standard die has 6 sides numbered 1 through 6, with each number having a probability of 1/6 when rolled.
    • Trials/experiments involve random outcomes like coin tosses or dice rolls, with results becoming closer to expected probabilities as more trials are conducted.
    • The sum of probabilities for all possible outcomes of a trial always equals 1 or 100%.
    • Probabilities can be represented as fractions, decimals, or percentages, making it easier to understand likelihood.
    • The probability of an event is calculated by the number of desired outcomes over the total number of possible outcomes.- Probability of pulling out a white marble is 1/11 or 0.09 or 9%, making it not very likely.
    • When adding up all probabilities, the total sum is 11/11 or 100%, as expected.
    • Basic probability involves creating a fraction with the desired outcomes as the numerator and the total possibilities as the denominator.
    • Probability values must fall between 0 and 1 (or 100%).
    • Conducting more trials or experiments brings results closer to the expected probabilities.

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    Description

    Learn about basic probability concepts such as fair coin tosses, standard die rolls, calculating probabilities, and conducting trials/experiments to understand likelihood. Explore how probabilities are represented as fractions, decimals, and percentages, and how the sum of all probabilities equals 1 or 100%.

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