Probability Basics Quiz

Basic Concepts

• Experiment: An action or situation that can produce a set of outcomes.
• Outcome: A specific result of an experiment.
• Sample Space: The set of all possible outcomes of an experiment.

Events

• Event: A set of outcomes of an experiment.
• Simple Event: An event that contains only one outcome.
• Compound Event: An event that contains more than one outcome.

Probability

• Probability: A number between 0 and 1 that represents the likelihood of an event occurring.
• Theoretical Probability: The probability of an event calculated based on the number of favorable outcomes and the total number of possible outcomes.
• Experimental Probability: The probability of an event based on repeated trials of an experiment.

Rules of Probability

• Rule of Addition: The probability of the union of two events is the sum of their individual probabilities minus the probability of their intersection.
• Rule of Multiplication: The probability of the intersection of two events is the product of their individual probabilities.

Types of Events

• Independent Events: Events where the occurrence of one event does not affect the probability of the other event.
• Dependent Events: Events where the occurrence of one event affects the probability of the other event.
• Mutually Exclusive Events: Events that cannot occur simultaneously.
• Complementary Events: Events where one event is the negation of the other.

Conditional Probability

• Conditional Probability: The probability of an event occurring given that another event has occurred.
• Bayes' Theorem: A formula for calculating conditional probability.