Tag Archives: Probability

Oz’ Balls Problem: The Solution

A commentator named Oz proposed the following question: You have a box with n red balls and n blue balls. You take out each time a ball at random but, if the ball was red, you put it back in the box and take out … Continue reading

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Taking balls away: Oz’ Version

This post is based on a comment by Oz to our question about balls with two colors: “There is an interesting (and more difficult) variation I once heard but can’t recall where: You have a box with n red balls … Continue reading

Posted in Guest post, Probability, Test your intuition | Tagged , , | 14 Comments

Answer to test your intuition (18)

You have a box with n red balls and n blue balls. You take out balls one by one at random until left only with balls of the same color. How many balls will be left (as a function of n)? … Continue reading

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Midrasha Talks are Now Online

Itai Benjamini listening to Gadi Kozma There are 41 lectures from the Midrasha on Probability and Geometry: The Mathematics of Oded Schramm which are now online. Joram Lindenstrauss’s concluding lecture (click on the picture to see) Laci Lovasz More pictures … Continue reading

Posted in Combinatorics, Conferences, Probability | Tagged , , | 4 Comments

Itamar Pitowsky: Probability in Physics, Where does it Come From?

I came across a videotaped lecture by Itamar Pitowsky given at PITP some years ago on the question of probability in physics that we discussed in two earlier posts on randomness in nature (I, II). There are links below to … Continue reading

Posted in Obituary, Philosophy, Physics, Probability | Tagged , , , | 1 Comment

Geometry and Probability

   

Posted in Conferences, Probability | Tagged , , | 4 Comments

A Problem on Planar Percolation

Conjecture (Gady Kozma):  Prove that the critical probability for planar percolation on a Cayley graph of the group is always an algebraic number. Gady  mentioned this conjecture in his talk here about percolation on infinite Cayley graphs.  (Update April 30: Today Gady mentioned … Continue reading

Posted in Open problems, Probability | Tagged , | 1 Comment