Basic Probability and Applications

These flashcards cover fundamental vocabulary and key concepts related to basic probability and the application of Venn diagrams, as discussed in the lecture.

Probability

The measure of the likelihood that an event will occur, expressed as a number between 0 and 1.

Event

A specific outcome or set of outcomes of an experiment within a sample space.

Sample Space (S)

The set of all possible outcomes of a probability experiment.

Union of Events (A ∪ B)

The event that either A, B, or both occur.

Intersection of Events (A ∩ B)

The event that both A and B occur simultaneously.

Complement of Event (A')

The event that A does not occur.

Venn Diagram

A graphical representation of sets and their relationships, often used to illustrate probabilities.

Mutually Exclusive Events

Events that cannot occur at the same time; the occurrence of one event excludes the possibility of the other.

Complement Rule

The principle stating that the probability of the complement of an event A is equal to 1 minus the probability of A.

De Morgan's Laws

Laws related to the intersection and union of sets, applicable in probability calculations involving complements.