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Multiplication Rule: Independent Events definitions

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  • Independent Events
    Two occurrences where the result of one has no influence on the result of the other.
  • Dependent Events
    Two occurrences where the result of one alters the likelihood of the other.
  • Probability
    A numerical measure expressing the chance of a specific outcome among all possible outcomes.
  • And Probability
    The likelihood of multiple occurrences happening together, calculated by multiplying their individual chances.
  • Multiplication Rule
    A method for finding the joint chance of independent occurrences by multiplying their separate probabilities.
  • Set Notation
    A symbolic representation, often using an upside-down U, to denote the intersection of occurrences.
  • Joint Probability
    A measure of the chance that two or more occurrences happen simultaneously.
  • Outcome
    A possible result from a random process, such as a coin flip or die roll.
  • Sample Space
    The complete collection of all possible results from a random process.
  • Consecutive Trials
    Multiple random processes performed one after another, such as repeated coin flips.
  • Event
    A specific result or group of results from a random process.
  • Intersection
    The set of results where multiple occurrences happen together, often denoted by an upside-down U.
  • Decimal Probability
    A chance expressed as a number between 0 and 1, representing the proportion of favorable results.
  • Numerator
    The top part of a fraction representing favorable results in probability calculations.
  • Denominator
    The bottom part of a fraction representing the total number of possible results in probability calculations.