PROBABILITY
Probability is a measure of how likely an event is to occur, expressed as a value between 0 (impossible) and 1 (certain)
Introduction to probability
What is probability?
Learn the basics of probability, its definitions, types (classical, empirical, subjective), and the difference between frequentist and Bayesian approaches.
Random experiments and events
Explore the fundamental concepts of random experiments and events in probability, with practical examples and detailed explanations.
Operations with events
Union of events
Learn about the union of events in probability, a fundamental concept that helps in understanding the likelihood of at least one of several events occurring.
Intersection of events
Learn about the intersection of events in probability, a fundamental concept that helps determine the likelihood of multiple events occurring simultaneously.
Difference between Two Events
Learn about the difference between two events in probability, also known as the set difference, and its applications.
Independent Events
Learn about independent events in probability, their significance, and how to calculate probabilities involving independent events.
Complementary Events
Learn about complementary events, a fundamental concept in probability theory.
Incompatible (Disjoint) Events
Learn about incompatible or disjoint events, a fundamental concept in probability theory.
Conditional probability
Explore conditional probability, its importance, applications, and real-world examples with detailed explanations.
Law of total probability
The law of total probability decomposes the probability of an event into weighted contributions from all possible scenarios.
Bayes theorem
Bayes theorem updates the probability of a hypothesis after observing new evidence, combining prior beliefs with conditional probabilities.
Combinatorial
Combinations
Learn about combinations, a fundamental concept in probability for counting the number of ways to choose items from a set without regard to order.
Permutations
Learn about permutations, a concept in probability used to determine the number of ways to arrange items where order matters
Variations
Learn about variations, a combinatorial method used to calculate arrangements where the order matters and can include or exclude repetition.