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Conditional Probability and Independent Events  

This applet shows a discrete sample space as a rectangle with a grid of \(N_x\) by \(N_y\) dots. The underlying probability space is the uniform distribution on this finite set of points. Two events \(A\) and \(B\) are shown as smaller rectangles. The events \(A\) and \(B\) can be moved by dragging the interiors, and the sizes of the events (proportional to the probabilities) can be changed by dragging the corners. The probabilities \(P(A)\), \(P(B)\), \((P(A)\) intersect \(B\)), \(P(A | B)\), and \(P(B | A)\) are shown. The grid sizes \(N_x\) and \(N_y\) can be changed with text boxes.

Resource URL: http://www.cut-the-knot.org/Curriculum/Probability/ConditionalProbability.shtml

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Subject classification(s): Elementary Probability | Probability | Statistics and Probability

Creator(s): Alexander Bogomolny

Contributor(s): Alexander Bogomolny

This resource was cataloged by Kyle Siegrist

Related Resources

• Monty Hall Dilemma - Introduction with references
• Conditional Probability
• Bayes' Theorem
• Bayesian odds
• Bayes' Ratio: Dramatic Taxicab Example
• 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

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