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While exploring a different area of math, I came across the fact that a tangential segment of a hyperbola between the asymptotes is bisected...

Often times in math, a given problem can be solved in multiple ways using algebra, geometry, calculus etc. and we try to find the shortest p...

Hi everyone! Wish you a very happy New Year! Now onto my first post of the year... I recently came up a problem in Geometric probability whi...

Let $T$ be an exponential random variable with parameter $\lambda$. In this post, we are going to find the expected value of $\text{min}(T,1...

Consider the problem of finding the probability of not finding a pair (not two consecutive cards of the same rank) from a well shuffled pack...

The famous Laplace Sunrise problem asks for the probability of the sun rising tomorrow given that it has risen for the past $n$ days. In th...

Let's say we shuffle a standard 52-card deck and draw cards one by one looking for.consecutive cards that form a pair (two cards with th...