<formulas> <graph> <values> <The End>

 

Our job: Find P(Bc) = the probability that there are no birthday matches in the room

 

SO: With N people in the room,

P(no matches) = 365/365 * 364/365 * 363/365 * ... * (365-N+1)/365

and

P(matches) = 1 - 365/365 * 364/365 * 363/365 * ... * (365-N+1)/365