Counting Methods for Probability

  • 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

     

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

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  • 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.

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  • 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.
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  • 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.
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  • This page discusses the proper procedures for multiple comparison tests and reasons behind them.
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  • 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.
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  • This page will calculate the factorial of any number.
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  • This page gives a history of notation and symbols and who developed them for combinatorial analysis, the normal distribution, probability, and statistics. Quotes from the first papers to use these symbols are also given.
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  • Song addresses the famous probability example of Birthday Problem by contrasting the often confused events of "some people matching" with "someone matches with ME". May be sung to the tune of "Happy Birthday to You" (Mildred J. Hill and Patty Smith Hill). Originally appeared in Winter 2002 "STATS". Recorded June 26, 2009 at the OSU Whisper Room: Larry Lesser, vocals/guitar; Justin Slauson, engineer.
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