The Mathematics of Card Shuffling: A Journey Towards Randomness
How many shuffles does it take to mix a deck of 52 playing cards? Behind this simple question lies a surprisingly deep mathematical theory. In this lecture, we explore what it means for a deck of cards to be ‘well mixed’, examine several classical shuffling methods, and see why certain methods require far more iterations to produce a random deck than others. We will view card shuffling through the lens of random walks, a mathematical framework used to model phenomena across physics, evolutionary biology and beyond.