The Land of Birthdays

The Land of Birthdays is a concept in probability that examines how likely it is for people in a group to share the same birthday. It illustrates the counterintuitive idea that, in a surprisingly small group, there’s a high chance two individuals will have the same birthday. For example, in just 23 people, there's over a 50% chance of a shared birthday. This phenomenon reflects how combinatorial probabilities work, highlighting how common shared birthdays are in everyday populations and challenging our intuition about randomness and uniqueness.