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- To Cheer You Up in Difficult Times 31: Federico Ardila's Four Axioms for Cultivating Diversity
- Richard Stanley: How the Proof of the Upper Bound Theorem (for spheres) was Found
- Amazing: Karim Adiprasito proved the g-conjecture for spheres!
- To cheer you up in difficult times 11: Immortal Songs by Sabine Hossenfelder and by Tom Lehrer
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# Category Archives: Test your intuition

## Test Your Intuition (46): What is the Reason for Maine’s Huge Influence?

Very quick updates: Corona: Israel is struggling with the pandemic with some successes, some failures, and much debate. Peace: We have peace agreements now with several Arab countries, most recently with Sudan. This is quite stunning. Internal politics: As divided … Continue reading

Posted in Games, Probability, Statistics, Test your intuition
Tagged Nate Silver, Test your intuition
6 Comments

## Cheerful Test Your Intuition (#45): Survey About Sisters and Brothers

You survey many many school children and ask each one: Do you have more brothers than sisters? or more sisters than brothers? or the same number? Then you separate the boys’s answers from the girls’s answers Which of the following … Continue reading

Posted in Combinatorics, Probability, Riddles, Statistics, Test your intuition
Tagged Test your intuition
7 Comments

## TYI44: “What Then, To Raise an Old Question, is Mathematics?”

“The argument is carried out not in mathematical symbols but in ordinary English, there is no obscure or technical terms. Knowledge of calculus is not presupposed. In fact, one hardly need to know how to count. Yet any mathematician will … Continue reading

Posted in Test your intuition, What is Mathematics
Tagged Test your intuition, What is Mathematics
14 Comments

## Test your intuition 43: Distribution According to Areas in Top Departments.

In the community of mamathetitians in a certain country there are mamathetitians in two areas: Anabra (fraction p of the mamathetitians) and Algasis (fraction 1-p of mamathetitians.) There are ten universities with 50 faculty members in each mamathetics department … Continue reading

Posted in Combinatorics, Open problems, Probability, Test your intuition
Tagged Test your intuition
9 Comments

## Test Your Intuition 42: How Much do you Gain by Knowing The Game You Play?

There are two players – the row player and the column player and there are two possible zero-sum games described in the picture below. For each of these games the row players has two strategies T (top) and Bottom (B) … Continue reading

Posted in Games, Test your intuition
Tagged Michael Maschler, Robert Aumann, Shmuel Zamir, Test your intuition
6 Comments

## TYI 41: How many steps does it take for a simple random walk on the discrete cube to reach the uniform distribution?

Aeiel Yadin’s homepage contains great lecture notes on harmonic functions on groups and on various other topics. I have a lot of things to discuss and to report; exciting developments in the analysis of Boolean functions; much to report on … Continue reading

Posted in Combinatorics, Probability, Test your intuition
Tagged discrete cube, random walk, Test your intuition
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## Test Your Intuition 40: What Are We Celebrating on Sept, 28, 2019? (And answer to TYI39.)

Update: We are celebrating 10 years anniversary to Mathoverflow Domotorp got the answer right. congratulations, Domotorp! To all our readers: Shana Tova Umetuka – שנה טובה ומתוקה – Happy and sweet (Jewish) new year.

Posted in Test your intuition, What is Mathematics
Tagged Mathoverflow, Test your intuition
6 Comments

## TYI 39 : Can a coalition of children guarantees all being in the same class?

There is a class of children that have just finished elementary school. Now they all move from elementary school to high school and classes are reshuffled. Each child lists three friends, and the assignment of children into classes ensures that … Continue reading

Posted in Combinatorics, Economics, Mathematics to the rescue, Test your intuition
Tagged Test your intuition
3 Comments

## TYI38 Lior Kalai: Monty Hall Meets Survivor

For breaking news, scroll down. Lior Kalai: Survivor Meets the Monty Hall Puzzle We start with the classical question and go on with a new version contributed by my son Lior. Update: A few brief comments on the original problem … Continue reading

Posted in personal, Probability, Riddles, Test your intuition, Women in science
Tagged Karen Uhlenbeck, Lior Kalai, Monty Hall problem, Survivor
3 Comments

## Test Your Intuition (or simply guess) 37: Arithmetic Progressions for Brownian Motion in Space

Consider a Brownian motion in three dimensional space. What is the largest number of points on the path described by the motion which form an arithmetic progression? (Namely, , so that all are equal.) A 2-D picture; In … Continue reading