So, what is a paradox? It is a situation or statement that initially seems implausible or contradictory, but may actually be true. In other words, a paradox is something that confuses us because it unexpectedly challenges our usual perceptions of how everything is arranged.
One of the most famous is the birthday paradox. Simply put, it states that in a group of 23 people, the probability that two of them share the same birthday exceeds 50%! This sounds strange, as there are 365 days in a year, and it may seem that a larger group is needed for a birthday match to be likely.
The secret of the birthday paradox lies in the number of possible pairs of people, rather than in the birthdays themselves. For example, in a group of 23 people, there are 253 different pairs of people. This means many opportunities for birthday matches, even if it seems unlikely.
This is one of the examples of how a paradox can make us think about how probability and logic work in life. Sometimes the world is more complex than it seems at first glance, and paradoxes remind us of that.