Search
Course Communities
send to a friend
Bayes' Ratio: Dramatic Taxicab Example
Course Topic(s): Probability | Basic Probability, conditional probability
This is a another short article on Bayesian odds, but in this case the author refers to Bayes' ratio instead. Bayes' theorem is used to derive a formula for the ratio of posterior probabilities \(P(A | C) / P(B | C)\) in terms of the prior probabilities \(P(A)\), \(P(B)\) and the conditional \(P(C | A)\) and \(P(C | B)\). An application is given to a taxi problem that is similar to the diagnostic testing setting. Unlike other Cut-the-Knot article, this one uses MathJax for the mathematical notation, so the notation is rendered nicely.
Resource URL: http://www.cut-the-knot.org/Probability/RedBlueTaxicabs.shtml
To rate this resource on a 1-5 scheme, click on the appropriate icosahedron:
 | |  |  | | Current rating: 2.9 | number of votes: 221 | |
| 1 | 2 | 3 | 4 | 5 |
Subject classification(s):
Elementary Probability
|
Probability
|
Statistics and Probability
Creator(s): Alexander Bogomolny
Contributor(s): Alexander Bogomolny
This resource was cataloged by Kyle Siegrist
Publisher:Cut-the-knot
Resource copyright: Copyright Alexander Bogomolny. The HTML page can be accessed and linked to, but not copied or used in other works.
This review was published on September 14, 2012
Related Resources
- Conditional Probability and Independent Events
- Conditional Probability
- Bayes' Theorem
- Bayesian odds
- Principle of Proportionality
- Conditional Recurrence
- Laplace's Rule of Succession
- Dependent and Independent Events
- Independent Events and Independent Experiments
- Construction of Pascal's Triangle
- Buffon's Needle Problem - Expository introduction
- Bernoulli Trials: Introduction
- Expectation - Introduction
Comments
- See comments on this resource.
- Make a comment on this resource.
- See general comments on Probability.
Report a problem with this resource.