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Factorial moments are defined as the expected value of the falling factorial of a random variable. In this post, we are going to try to comp...

This post talks about the 'Inverse Sum theorem' which is at the heart of the video for my SoME2 submission . Consider two right angl...

Bertrand's paradox is a neat problem that shows what happens when we take the words 'at random' a bit too casually. In this pos...

The video I referred to in the earlier post only shows a Monte Carlo solution but we can find the exact values quite easily using the densit...

Consider an Urn with $A$ green balls and $B$ red balls. Two players A and B play a game where they draw balls from this Urn one at a time (w...

This post picks up where we left earlier. As discussed before, we want to find the expected distance between two points randomly selected in...

Problems in Geometric Probability are always fascinating. In this post, we going to see two of the well known and challenging problems in th...