Mathematics Birthday Problem

Despite the fact that there are 365 days in a year if you survey a random group of just 23 people there is a 50 50 chance that two of them will have the same birthday.

Mathematics birthday problem. If one assumes for simplicity that a year contains 365 days and that each day is equally likely to be the birthday of a randomly selected person then in a group of n people there are 365 n possible combinations of birthdays. Ok fine humans are. It went viral in a matter of days. In the birthday problem neither of the two people is chosen in advance.

An entertaining example is to determine the probability that in a randomly selected group of n people at least two have the same birthday. Same birthday as you. Other birthday problems first match. Humans are a tad bit selfish.

This is an interesting question as it shows that probabilities are often counter intuitive. We ve taught ourselves mathematics and statistics but let s not kid ourselves. Cheryl s birthday is a logic puzzle specifically a knowledge puzzle. Abstract this project shows how mathematical probability sometimes contradicts our intuition.

A related question is as people enter a room one at a time which one is most likely to be the first to. Understanding the birthday paradox problem 1. In the standard case. The luck of the draw.

Though it is not technically a paradox it is often referred to as such because the probability is counter intuitively high. 9 x 4 36. The question was posed as part of the singapore and asian schools math olympiad sasmo in 2015 and was first posted online by singapore television presenter kenneth kong. A mathematical improbability in the third round of the fa cup could have upset the premiership sides.

A beautiful geometric problem opens the door to the world of metallic numbers. How many people need to be in a room such that there is a greater than 50 chance that 2 people share the same birthday. Take a look at the news. The birthday problem one version of the birthday problem is as follows.

Ask your friend or everyone in the room to write down the number of the month he she they were born. 9 born in september multiply the month by 4. Ask your friend or eveyone to write down their birthday. Find a calculator or a pencil and paper.