 This variation of the birthday problem is interesting because there is not a unique solution for the total number of people .For example, the usual 50% probability value is realized for both a 32-member group of 16 men and 16 women and a 49-member group of 43 women and 6 men.A related question is, as people enter a room one at a time, which one is most likely to be the first to have the same birthday as someone already in the room?