We prove that the maximum degree Δn of a random series-parallel graph with n vertices satisfies Δn/logn → c in probability, and Δn ~ c logn for a computable constant c > 0. The same kind of result holds for 2-connected series-parallel graphs, for outerplanar graphs, and for 2-...
Bayes’ Theorem is a mathematical formula used to calculate the probability of an event occurring. It’s based on the fact that the probability of another event has already occurred. There are several uses for this formula. And since you can update existing theories or predictions with it, Bay...
In statistics and probability theory, the Bayes’ theorem (also known as the Bayes’ rule) is a mathematical formula used to determine the conditional probability of events. Essentially, the Bayes’ theorem describes theprobabilityof an event based on prior knowledge of the conditions that might be...
Probability defines the likelihood of occurrence of an event. There are many real-life situations in which we may have to predict the outcome of an event. We may be sure or not sure of the results of an event. In such cases, we say that there is a probability of this event to occur...
For calculating mutually exclusive events, probability can be used. Probability is considered the most commonly used practice in various fields such as finance, artificial intelligence, game theory, philosophy, etc. In the case of probability, each mutually exclusive event has a possibility of occurrin...
HL Formula Booklet (2014)
Probability refers to the likelihood of an event's occurrence in a specific context. Explore the concept of probability by analyzing the outcomes of experiments, and using the probability formula to calculate the likelihood of different events. ...
A conditional probability is a probability assigned to an event after receiving some information about other relevant events. Aims The aims of this lecture are to: introduce the concept of conditional probability in a mathematically sound manner; ...
Bayes' Theorem thus gives the probability of an event based on new information that is or may be related to that event. The formula also can be used to determine how the probability of an event occurring may be affected by hypothetical new information, supposing the new information will turn ...
Posterior probability is the revised probability of an event occurring after taking into consideration new information.