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Test Your intuition 51
Suppose that and are two compact convex sets in space. Suppose that contains . Now consider two quantities is the average volume of a simplex forms by four points in drawn uniformly at random. is the average volume of a … Continue reading
Posted in Convexity, Geometry, Probability, Test your intuition
Tagged Test your intuition
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Answer to Test Your Intuition 50: Detecting a Deviator
Two weeks ago we asked: Ruth and Ron start together at the origin and take a walk on the integers. Every day they make a move. They take turns in flipping a coin and they move together right or left … Continue reading
Test Your Intuition 50. Two-Player Random Walk; Can You Detect Who Did Not Follow the Rules?
Ruth and Ron start together at the origin and take a walk on the integers. Every day they make a move. They take turns in flipping a coin and they move together right or left according to the outcome. Their … Continue reading
Ehud Friedgut: How many cubes of 2×2×2 fit into a box of size 8×4×3? (TYI 49)
This blog post is kindly written by Ehud Friedgut. My daughter, Shiri, who’s in seventh grade, had the following question in a math exam: How many cubes of 2×2×2 fit into a box of size 8×4×3? Shiri divided the volumes, … Continue reading
Posted in Geometry, Riddles, Test your intuition
Tagged Alef's corner, Ehud Friedgut, Shiri Friedgut, Test your intuition
6 Comments
To cheer you up in difficult times 35 combined with Test Your Intuition 48: Alef’s corner – Jazz and Math
Test your intuition: What is the true title of this drawing?
Posted in Art, Music, Test your intuition, What is Mathematics
Tagged Alef's corner, Test your intuition
1 Comment
Test your intuition 47: AGC-GTC-TGC-GTC-TGC-GAC-GATC-? what comes next in the sequence?
Before getting to the main topic of this post, first, Happy New Year 2022 and Merry Christmas to all readers, and second, a quick update: A community blog to discuss open problems in algebraic combinatorics was created. Everybody is invited … Continue reading
Posted in Algebra, Combinatorics, Geometry, Test your intuition
Tagged Oberwolfach, Test your intuition
1 Comment
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
Combinatorics and more 