# Counting Methods for Probability

• ### Song: 50 Ways to Leave Your Lover

A song for teaching about the multiplication rule.  Using the popular topic among young adults of relationships, the multiplication principle is memorably illustrated by having Paul Simon's #1 hit song (which states only a half-dozen ways to leave your lover, not 50) revisited to show 50 literal paths for ending a relationship: (5 reasons for the decision) X (5 methods to relay the decision) X  (2 options for handling acquired stuff). The lyrics were written by Larry Lesser from The University of Texas at El Paso to the tune of Simon’s same-titled 1975 song.  The audio recording features vocals by Abeni Merryweather and production by Abeni Merryweather  from UTEP's commercial music program.  The song tied for second place in the 2023 A-mu-sing contest.

The structure of the problem in the song is similar to Exercise 3 in the progressive curriculum sequence outlined in the Spring 2024 Journal of Mathematics Education at Teachers College article “A Problem-based Curriculum to Develop the Multiplication Principle for Counting”: https://journals.library.columbia.edu/index.php/jmetc/article/view/11949/6300

• ### Collection: Statistical Calculators

Free statistical calculators online.  Our basic statistical calculators will help you in common tasks you might encounter and deal mostly with simple distributions.

• ### Joke: Silver Arrangements

A pun to aid in discussing Stirling's approximation.  The joke was written by Larry Lesser from The University of Texas at El Paso in January 2018.

• ### Poem: PERMUTATION

A poem to develop an understanding of permutations. A question like "Why is the word importunate used in a poem about a permutation?" will help the conversation. The poem was written by Larry Lesser from The University of Texas at El Paso in 2017.
• ### Joke: Locker Security

A joke to be used in discussing permutations and combinations in a probability course. The Joke was written in 2016 by Judah Lesser an AP statistics student from El Paso, Texas.
• ### Why Use Multiple Comparison Tests?

This page discusses the proper procedures for multiple comparison tests and reasons behind them.
• ### Two-Way Analysis of Variance

This tutorial explains the theory and use of two-way ANOVA and demonstrates it with an example on final exam scores. Data is given as well as SPSS and Minitab code.