Average Waiting Times and 42
admin Let us start with a simple question. How long does it on average take to throw two times 6 in a row when throwing dice? I have treated average waiting…
Uncategorized
A ChatGPT Letter written by to Myself
Dear Professor Grothmann, I hope this letter finds you well. I recently had the pleasure of exploring your homepage and was deeply impressed by the breadth of topics you have…
ChatGPT Revisited
A colleague of mine now told me that ChatGPT as advanced to a state where homework assignments can be treated, at least in the first courses in Analysis and Linear…
Matt Parker measures the Earth
This is inspired by a very nice and entertaining Video on the Stand-Up-Math channel featuring Matt Parker and Hannah from NumberPhile. They aimed to repeat an experiment from a book…
What does a Mirror Flip?
I recently was asked a question about mirrors which has been asked a million times before: Why does a mirror flip the left and right side of a face, but…
Paradoxes in Probability Theory
Probability theory is always a more difficult topic than it seems at first sight. In another posting, I talked about the „two envelopes problem“ and described my basic approach to…
Logical Flaws
The following is the Wason Selection Task, as cited by Wikipedia. „You are shown a set of four cards placed on a table, each of which has a number on…
Pisa-Unsinn
Ich finde immer wieder Pisa-Aufgaben im Netz, die schlecht formuliert sind. Ich hoffe mal, dass die zitierten Aufgaben nicht wirklich die Aufgaben sind, die gestellt wurden. Aber immerhin habe ich…
The „Sleeping Beauty“ Paradox
I learned about this problem from a video of „Veritasium“. The story goes like this: A beauty falls asleep. Then a coin is flipped. On each wake up, the beauty…
A Little bit of Duplo-Mathematics
This construction works without stretching or bending. Everything is sitting exactly on the studs. Here is a mathematical abstraction of the situation. This has been observed by a friend who…