Riddle Me This

Alright math geeks, write me an algorithm to predict the likelihood of this: I've only ever met two other people who share my birthday, and both of them work at The Boulder Running Co. where I also used to work. The last part of that sentence makes this whole argument a whole lot less interesting, so I'll throw my usual philosophical spin on things to make the equation more compelling.

The BRC still feels like family to me. Maybe it's because I never really wanted to leave my friends, many of whom still work there. Maybe it's because having such a strong community of passionate people is an aspect of life that makes it worth living. And definitely, it's partially because working there kept me sane while I was in school at CU. Of course, it's a combination of all three, but the point is that even though I may only see or talk to many of them once or twice a year, I still feel a strong part of the community there. People may come and people may go, but the heart and sole of the place (pun purely intended for those who know the BRC) will always remain on in the few friends who mean a whole lot to a certain individual who defected almost four years ago.

Now, none of this has anything to do with birthdays, really. It's about feeling part of a community who shares the same passions, goals, and often intellectually stimulating conversation. After all, that's essentially a large part of what human being are all about; being able to make cognitive decisions that affect our goals, and ultimately, our overall happiness and sense of contentment.

So back to my original question: what is the likelihood that three people ingrained in the same small community that is The Boulder Running Co. all share the same Birthday?