In probability theory, conditional probability is a measure of the probability of an event occurring, given that another event (by assumption, presumption, assertion or evidence) is already known to have …

In this section, we discuss one of the most fundamental concepts in probability theory. Here is the question: as you obtain additional information, how should you update probabilities of events? For …

Dec 6, 2025 · Conditional probability defines the probability of an event occurring based on a given condition or prior knowledge of another event. It is the likelihood of an event occurring, given that …

May 21, 2025 · In the study of conditional probability, researchers examine two or more events with related probabilities, and ask, "If we know A has happened, what's the chance of B also happening?"

Each toss of a coin is a perfect isolated thing. What it did in the past will not affect the current toss. The chance is simply 1-in-2, or 50%, just like ANY toss of the coin. So each toss is an Independent …

Nov 17, 2025 · conditional probability, the probability that an event occurs given the knowledge that another event has occurred. Understanding conditional probability is necessary to accurately …

A conditional probability is a probability that a certain event will occur given some knowledge about the outcome or some other event. P (A ∣ B) P (A ∣ B) is a conditional probability. It is read as "The …

The conditional probability is the probability of happening of an event of A given that another event B has already occurred. It is denoted by P (A | B) and it is calculated by the formula P (A | B) = P (A ∩ …

In the last lecture, we learned how to compute probabilities using the Tree Method.

Mar 6, 2025 · In this section, we introduce conditional probability along with the concept of independent events and discuss the remaining probability rules.