Conditional Probability
Conditional probability is the likelihood of an event occurring given that another event has already occurred. It is denoted by P(A|B), where A and B are two events. The formula to calculate conditional probability is: P(A|B) = P(A | B) / P(B).
Independent Event:
Two events A and B are said to be independent if the occurrence of one event does not affect the probability of the other events. Mathematically, if A and B are independent:
P(A|B) = P(A)*P(B)
Conclusion
Conditional probability and independent events are crucial concept in probability theory. The former allows us to calculate probabilities of events based on given condition, while the latter deals with events that do not influence each other’s likelihood. Understanding the concept is vital in various fields, including statistics, machine learning and decision making.
