Conditional Probability: The probability of an event occurring given that another event has already occurred, fundamental to statistical inference and decision-making processes.

Resources Visualizing conditional probability: Visualizing Conditional Probability By dragging the sliders, users can change the probabilities of events A and B. The applet shows the two probabilities ...

Explain why probability is important to statistics and data science. See the relationship between conditional and independent events in a statistical experiment. Calculate the expectation and variance ...

The quotient rule is often spoken of as a definition of conditional probability in terms of unconditional ones -- when the unconditional probability of the condition D is positive.

How likely you think something is to happen depends on what you already believe about the circumstances. That is the simple ...

In this note we wish to pass along an example that we have found useful when introducing the concepts of conditional probability and Bayes' Rule to undergraduate students. The advantages of this ...

It is shown that certain conditional distributions, obtained by conditioning on a sufficient statistic, can be used to transform a set of random variables into a smaller set of random variables that ...

Prior probability, in Bayesian statistical inference, is the probability of an event based on established knowledge, before empirical data is collected.