Your probably a lot closer to correct Eric.
We'll throw out leap day to make this "easy." 365 days in a year . . . you got to born on one of those days. Chances are 365 to 1 that any person you meet on the street shares your birthday.
So, the chance of Kyle and Trey sharing a birthday is 365 to 1 and the chance of Russ sharing a birthday with Talia is 365 to 1 . . . BUT the ods that Kyle and Trey share a birthday AND Rus and Talia share a birthday is 365 X 365 . . .

I think . . . so that's like 133225 to 1. We'll let Russ figure it out from there . . . If he can figure out the Horse of a Different Color thing he posted a while back, this will be easy for him!