Birthday Paradox Probability Estimates
Initializing live version

Requires a Wolfram Notebook System
Interact on desktop, mobile and cloud with the free Wolfram Player or other Wolfram Language products.
This Demonstration of the birthday problem shows the probability that at least two individuals share the same birthday assuming that there are 365 equally likely possible birthdays.
[more]
Contributed by: Scott R. Colwell (August 2011)
Open content licensed under CC BY-NC-SA
Details
The formula for the probability of some people out of to share the same birthday is:
, where
is a binomial coefficient.
Reference
[1] E. H. McKinney, "Generalized Birthday Problem," The American Mathematical Monthly, 73(4), 1966 pp. 385–387.
Snapshots
Permanent Citation