It doesn't make a lot of difference, for the obvious reason.Ben2 said:Summary:: Has anyone seen this alternative?
Has any solver replaced "365" by "365.25" in the standard approach? I'm editing a book, and don't want unpleasant surprises when it appears. Please include URRL's and ancillary information. Finally let me apologize to site coordinators if this is off the reservation. Thanks!
The empirical probability would take account of the non-uniform pattern in births throughout the year.Ben2 said:The question is, Which model is simultaneously suitable for an undergrad readership and converges (Law of Large Numbers) to the empirical probability?
Thanks for all comments and references provided.
An interesting consequence of which is that the 13th of the month falls on a Friday a little more often than 1/7.Ben2 said:I was unaware of other leap day rules as posted by fresh_42
The Birthday Problem, also known as the Birthday Paradox, is a mathematical problem that asks how many people are needed in a group for there to be a 50% or higher chance that two people share the same birthday.
The probability of shared birthdays is calculated using the formula P(n) = 1 - (365!/((365-n)!*365^n)), where n is the number of people in the group.
The Birthday Problem is significant because it demonstrates the counterintuitive nature of probability. Many people assume that a group needs to be very large for there to be a high chance of shared birthdays, but in reality, the number is much smaller than expected.
The Birthday Problem has many applications in real life, such as in cryptography, where it is used to demonstrate the potential for collisions in hashing algorithms. It also has implications in fields such as genetics and epidemiology, where it can be used to calculate the likelihood of shared genetic traits or the spread of diseases.
Yes, there are variations of the Birthday Problem that take into account different factors such as leap years, non-uniform distribution of birthdays, and multiple shared birthdays. These variations can affect the probability of shared birthdays and may require different calculations.