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Hypergeometric Distribution definitions

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  • Hypergeometric Distribution
    A probability model for dependent trials where items are drawn without replacement from a finite group.
  • Binomial Distribution
    A probability model for independent trials with a constant chance of success in each trial.
  • Dependent Trials
    Situations where the outcome of one draw affects the probabilities in subsequent draws.
  • Independent Trials
    Situations where the outcome of one trial does not influence the probabilities in future trials.
  • Replacement
    Returning an item to the group after it is drawn, keeping probabilities unchanged for each trial.
  • Without Replacement
    Removing an item after it is drawn, altering the group and changing future probabilities.
  • Success
    A desired outcome in a probability experiment, such as drawing a red marble from a bag.
  • Failure
    An undesired outcome in a probability experiment, such as drawing a blue marble when seeking red.
  • Combination
    A mathematical method for counting the number of ways to select items from a group, regardless of order.
  • Numerator
    The part of the probability formula that counts favorable outcomes matching the desired number of successes.
  • Denominator
    The part of the probability formula that counts all possible ways to make the draws.
  • Draw
    A single selection of an item from a group, considered a trial in probability experiments.
  • Group Size
    The total number of items available for selection at the start of the experiment.
  • Probability
    A numerical measure of the likelihood of a specific outcome occurring in an experiment.
  • Fixed Number of Trials
    A set amount of times items are drawn or experiments are conducted, not changing during the process.