Probability
A measure of the likelihood that an event will occur, between 0 and 1.
Event
An outcome or a set of outcomes of a random phenomenon or experiment.
Sample Space
The set of all possible outcomes in a probability experiment.
Mutually Exclusive Events
Two or more events that cannot occur at the same time.
Independent Events
Events where the occurrence of one does not affect the probability of the other.
Dependent Events
Events where the occurrence of one event affects the probability of the other.
Expected Value
The average value of a random variable over a large number of experiments or trials.
Conditional Probability
The probability of an event occurring given that another event has already occurred.
Compound Probability
The likelihood of two or more independent events occurring together.
Probability Axiom
A fundamental rule in probability stating that the probability of the entire sample space is 1.
Addition Rule
A rule used to find the probability of the union of two events.
Multiplication Rule
A rule used to find the probability of the intersection of two independent events.
Law of Total Probability
A principle that breaks down the probability of an event into a sum of probabilities under different conditions or scenarios.
Random Variable
A variable whose value is subject to variations due to chance.
Probability Distribution
A mathematical function that provides the probabilities of occurrence of different possible outcomes.
Normal Distribution
A probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean.