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Basic Concepts of Probability definitions

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  • Probability
    A numerical measure expressing the likelihood of an event, ranging from 0 (impossible) to 1 (certain).
  • Event
    Any outcome or set of outcomes that can occur in a probability experiment, regardless of size or significance.
  • Theoretical Probability
    A value calculated using possible outcomes before any experiment, based on logical reasoning or known possibilities.
  • Empirical Probability
    A value determined from observed data after conducting trials or experiments, reflecting actual results.
  • Sample Space
    A set containing all possible outcomes of a probability experiment, often shown using curly brackets.
  • Outcome
    A single possible result from a probability experiment, such as rolling a specific number on a die.
  • Trial
    A single performance or repetition of a probability experiment, such as one coin flip or one die roll.
  • Set Notation
    A mathematical way to list all possible outcomes of an experiment, typically using curly brackets.
  • Fraction
    A numerical representation used to express probability, showing favorable outcomes over total possible outcomes.
  • Decimal
    A numerical format often used to report probability values, such as 0.5 or 0.8.
  • Sample Size
    The total number of trials or observations in an experiment, affecting the accuracy of empirical probability.
  • Data Table
    An organized display of observed outcomes from probability experiments, used to calculate empirical probability.
  • Total Possible Outcomes
    The complete count of all distinct results that can occur in a probability experiment.
  • Favorable Outcomes
    The specific results within the sample space that satisfy the condition of interest in a probability question.