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Saturday, March 2, 2024
Summing Uniform random variables to reach a target sum
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The problem of finding the expected number of standard Uniform variables to get a sum greater than 1 is quite famous. In this post, we deal ...
Saturday, December 30, 2023
Is $e$ less than $(1+\sqrt{21})/2$?
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One of my friends recently posed the problem of finding the expected number of uniform random variables needed to get a sum greater than $1$...
A nice property on the recurrence of Eulerian Numbers
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I was recently looking at Eulerian numbers for a problem and I noticed a nice, and probably lesser/never known, property on their recursive ...
Sunday, December 24, 2023
The Rounding Error Conundrum
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Like all managers, I too, from time to time, will be in a position to present a bunch of numbers in an Excel Sheet. To bring clarity to the ...
Friday, October 27, 2023
Generalising a famous Problem in Probability
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As always, when I was looking for newer problems in probability, I came across the famous problem of determining the probability that $n$ p...
Saturday, July 15, 2023
Vechtmann's theorem and more on Bernoulli Lemniscate
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Bernoulli Lemniscate was one beautiful curves in Mathematics. The curve, which in some sense kick started the study of elliptic functions, ...
Thursday, June 29, 2023
'Leftmost' random points on Circles and Spheres
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As usual, I was randomly (pun unintended) thinking about some problems in Geometric Probability and thought would share some of those. Consi...
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