A cartoon that provides a good way to introduce the Law of Large Numbers using the negative expectation for games of chance at a casino. The cartoon was used in the March 2022 CAUSE cartoon caption contest and the winning caption was written by Rich Einsporn from the University of Akron. The cartoon was drawn by British cartoonist John Landers (www.landers.co.uk) based on an idea by Dennis Pearl from Penn State University.
A cartoon that can be used to discuss the appropriateness of the normal errors assumption in a variety of settings. The cartoon was used in the May 2021 CAUSE cartoon caption contest and the winning caption was written by Dashiell Young-Saver from the Knowledge Is Power Program Public Schools. The cartoon was drawn by British cartoonist John Landers (www.landers.co.uk) based on an idea by Dennis Pearl from Penn State University.
A joke for discussing the calculus prerequisite for an upper division probability course. The joke was written by Dennis Pearl and Larry Lesser in October 2022.
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.
"WON OVeR" is a poem by Lawrence Mark Lesser from The University of Texas at El Paso. The poem was written in 2022 and originally published in the January 2023 Journal of Humanistic Mathematics. The poem highlights the unexpected occurrence of the constant 1/e in two classic probability problems: “secretary problem”/”marriage problem” and “hats derangement problem”. The poem could be used either to motivate students to learn about those particular problems or to cap things off after working through them.
A climate change related poem describing the numerous record temperature values being set (expressing that as unusual under a model of no overall warming but the norm in reality). The poem was written by author with pen name Anubis the Philosomancer in July 2013 and posted on the poetry website hello poetry.com
This limerick was written April 2021 by Larry Lesser of The University of Texas at El Paso to be used as a vehicle for discussing probabilities and expected values involved in playing a typical pari-mutuel lottery. The limerick was also published in the June 2021 issue of AmStat News.
This limerick was written in April 2021 by Larry Lesser of The University of Texas at El Paso to be used as a vehicle for discussing Simpson's Paradox. The limerick was also published in the June 2021 Amstat News.
A haiku poem that uses a fortuitous numerical fact about a birthday probability that can launch discussion of the "68-95-99.7 rule" and how 99.73% of values are within 3 standard deviations of the mean for a normal distribution. Here 364/365 ≈ 0.9973 (365/366 is the same out to four decimals so this also applies to leap years). Students can also recognize that birthdays do not follow a normal distribution, but approximately a uniform distribution (so that the approximate chance that two people have different birthdays is about .9973) . The poem was written by Lawrence Lesser from The University of Texas at El Paso in February, 2021.
A limerick to teach the inclusion-exclusion rule for finding the probability of the union of two events. The poem was written by Marion D. Cohen from Drexel University and published in the January 2021 issue (vol 11 number 1) of the Journal of Humanistic Mathematics.