Chapter 4 Probability Concepts Statistics ARTS Fall 2024-2025

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    What is a probability experiment?

    A chance process leading to one outcome from defined results.

    What defines a sample space?

    The set of all possible outcomes of a probability experiment.

    What is an event in probability?

    A set of outcomes from a probability experiment.

    How does a simple event differ from a compound event?

    A simple event consists of one outcome, while a compound event has multiple outcomes.

    What is the complement of an event?

    The set of all elements in the sample space not in the event.

    What is the intersection of two events?

    The event containing all elements common to both events.

    What is the union of two events?

    The event containing all elements that belong to either event or both.

    What is classical probability?

    Probability calculated based on the assumption of equally likely outcomes.

    What is empirical probability?

    Probability determined by observing outcomes of experiments.

    What happens if you increase the number of trials in a probability experiment?

    The empirical probability tends to converge to the theoretical probability.

    What is conditional probability?

    The probability of an event given that another event has occurred.

    How do addition rules apply to compound events?

    They calculate the probability of at least one of multiple events occurring.

    How do multiplication rules apply to compound events?

    They calculate the probability of two or more independent events occurring together.

    What is a probability experiment?

    A chance process leading to one outcome from defined results.

    What defines a sample space?

    The complete set of all possible outcomes of an experiment.

    What is an event in probability?

    A set of outcomes from a probability experiment.

    How does a simple event differ from a compound event?

    A simple event consists of one outcome, while a compound event has multiple outcomes.

    What is the null space in probability?

    A subset of the sample space containing no elements.

    What does the intersection of two events represent?

    The set of elements common to both events.

    What is the union of two events?

    The set of all elements belonging to either event or both.

    What is the complement of an event?

    The set of all elements in the sample space not in the event.

    What is classical probability?

    Probability calculated based on equally likely outcomes.

    What is empirical probability?

    Probability determined from observed data.

    What happens if you apply the addition rule?

    It calculates the probability of compound events by adding individual probabilities.

    What does conditional probability measure?

    The probability of an event given that another event has occurred.