In Your Average School Class There Is A 50% Chance Two People Share What?
Answer: A Birthday
In the field of probability theory, there is a problem known as the Birthday Paradox concerning the probability that in a selection of N randomly chosen people, some of them will share a birthday. This probability reaches 100 percent once you reach a sample size of 367 people (to account for the 366 potential days, including Feb. 29th, +1).
What’s fascinating, however, is how quickly the probability of sharing a birthday climbs. In a group of 23 people, around the size of a small class, the chances of two people sharing a birthday have already climbed to 50 percent. To get to 99 percent, you’d just need to gather two classrooms together. In a group of 57 people, there is a 99 percent chance that there is a common birthday.
While this might seem like something of a mathematical parlor trick, the math behind the Birthday Paradox has actually been successfully employed as a well known cryptographic attack, the Birthday Attack, which uses probabilistic modeling to reduce the complexity of cracking encryption hash functions.
Which Star Trek Character Was Added Specifically To Appeal To Teenage Viewers?
Which Star Wars Actor Declined Billing As He Felt His Contribution Insignificant?
The Element First Discovered And Recorded By Modern Science Was?
In World War II, A Nazi Submarine Was Accidentally Sunk By?
Kessler Syndrome Is An Astronomy Theory That Predicts?
Modern Subway Maps Were Inspired By?
The Practice Of Firing A Purposefully Inaccurate Shot In A Pistol Duel Is Known As?
Until Legislation In The 1990s Mandated It, British Appliances Rarely Came With?