The Birthday Paradox

Mathematics IA - Birthday Paradox "What is the probability that two or more people will have the same birthday in a room with 30 random people? This very complex field of mathematics will be explained in a simpler way This is the possibility of an event The probability of an event is always between 0 and 0. The closer it is to 1 the higher the likelihood that an event will occur When asked about a birthday in a textbook I chose this topic as I repeatedly tried to solve it when I first read, but my probability was very low every time.

But this digital phenomenon has at least one very practical application. It is computer hacking. There is a classic encryption computer attack called "birthday attack" using mathematics of birthday paradox. With this approach, programmers save the results of their birthdays in memory to shorten the overall processing time when doing computationally useful things, such as attempting to decode digital signatures. Mathematics hopes to think that it is a supporter of structure and intuition, but sometimes it will be as bad as intuitive as Paradox of Birthday, Monty Hall or Benford. And we have no choice but to obey the fickle whim of these wonderful control freaks. But sometimes I like to divide by zero to show that I can not retaliate.

If you are not familiar with the birthday paradox it is actually very simple. How many people need to gather in one room for two people to have 100% same birthday? Ignoring the fact that leap years and birthdays are distributed unevenly throughout the year, it is actually easy to solve the problem with pigeon's principle. In other words, if there are 365 people in a single room, everyone will have their own birthday. This may be infinitely small. If you add another person, there is no way to prevent sudden birthdays from repeating. The answer is 366