The Birthday Problem, also known as the Birthday Paradox, is a mathematical problem that calculates the probability of at least two people sharing the same birthday in a group of a certain size.
The probability of 3 people sharing the same birthday can be calculated by using the formula:
P(n) = 1 - (365!/((365-n)! * 365^n))
where n is the number of people in the group. This formula takes into account the chances of each person having a different birthday and subtracts it from 1 to get the probability of at least two people sharing the same birthday.
Yes, the Birthday Problem is applicable in real life situations. It is often used in statistics and probability to demonstrate the concept of unlikely events occurring in a group of people.
The probability of 3 people sharing the same birthday in a group of 23 people is approximately 50%. This means that in a group of 23 people, there is a 50% chance that at least two people will share the same birthday.
Yes, the Birthday Problem can be extended to any number of people. The formula used to calculate the probability of 3 people sharing the same birthday can be modified to include more people in the group.