Conditional Probability
Conditional probability is the probability of an event or outcome occurring, based on the assumption that a previous event or outcome has already occurred. The calculation of conditional probability is as follows:
P(A|B) = P(A and B) / P(B)
Resources
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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 as areas. After changing the two events' probabilities, the applet shows the resulting conditional probability as the proportion of event B's area that is contained within the intersection.
Author: Chris Boucher (March 2011).
License: CC BY-NC-SA.
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Venn diagrams and conditional probabilities:
Interactive Applet: Conditional Probability
This app displays an intricate Venn diagram, containing various combinations of set intersections, unions and complements. Users can shade the area they choose by clicking on the diagram. Users can also change the probability of events A, B and C by dragging the sliders. Resulting conditional probabilities are also displayed and calculated.
Author: © 1997-2021. P.B. Stark. All rights reserved.
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Practice quiz on conditional probability:
Practice Quiz: Conditional Probability
This quiz uses a fictional dataset to test the user's understanding of conditional probabilities. The quiz has four questions, and prompts the user to obtain the correct answer before moving on to the next question.
Author: UF Biostatistics Open Learning Textbook.
License: CC BY-NC-SA 3.0.