# Browse Classroom Capsules and Notes

You can filter the list below by selecting a subject category from the drop-down list below, for example by selecting 'One-Variable Calculus'. Then click the 'APPLY' button directly, or select a subcategory to further refine your results.

Displaying 31 - 40 of 70

$N$ white balls and $N$ black balls, identical in shape, are distributed into two identical bags. One bag is picked at random and one ball is drawn at random. How should the balls be...

A probabilistic explanation of a property of the hypergeometric distribution

Conditional probability applied to OJ Simpson trial

The authors show, using probabilistic methods, that convergence implies Euler convergence, but not conversely.

The authors describe the Hat Check and several other problems leading naturally to the number $e$.

A natural generalization of probability trees and hypergeomeric distributions is used to solve problems anti-intuitive to some.

Copulas can be employed in probability and mathematical statistics courses.

Dropping the smallest or largest in a finite set of numbers does not necessarily lower the variance.

A Markov chain with 9 states is used to illustrate a technique for finding the fundamental matrix.