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I recently came across an interesting problem concerning the probability of a random sphere lying inside an unit ball in stackexchange . Th...

The following problems was recently posted in the IIM-Cal puzzle group (and eventually in my puzzle group as well): Can we fill an $n \times...

 Let's say an Independent Aurelian is investigating butterflies on two types of traits, A and B. It is known that the probability of a...

Consider two circles $A(B)$ and $C(B)$ intersecting at $B$ and $D$, and a line passing through $D$. Let this line intersect the circle $A(B)...

Someone in our puzzle group recently posted a question which asked to evaluate the following sum. $$\frac{1}{e^{\pi}+1}+\frac{3}{e^{3\pi}+1}...

Toricelli's law states that the velocity of a discharge, say $v$, located at the bottom of a tank filled to a height $h$ is $v=\sqrt{2g...

This post picks up where we left earlier . In addition to the centre of circumcircle of $\triangle KDL$, the midpoint of the segment $KL$ al...