Did You Know?
The probability of shuffling a deck into perfect order is 1 in 52 factorial.
This number is so large that if everyone on Earth shuffled a deck every second, it would take longer than the universe's age to see all possibilities. It demonstrates the vast scale of permutations.
Did You Know?
Every positive integer can be represented as the sum of at most three triangular numbers.
Proved by Gauss in 1796, this theorem shows how complex numbers can be built from simple geometric patterns....
Did You Know?
The Monty Hall Problem shows that switching doors triples your chances of winning.
This famous probability puzzle demonstrates how counterintuitive probability can be. Switching doors gives a 2/3 chance of winning,...
Did You Know?
The sum of the angles in a triangle is always 180 degrees, but only on a flat surface.
On curved surfaces like a sphere, triangles can have angle sums greater than 180 degrees. This demonstrates how...