Is there a chance that your LO will share a birthday with somebody in your family?

We're due 12/30 and my nephews birthday is 1/1 so if we weren't going to induce early, that would be a huge possibility.
Because the plan is to induce about 2 weeks early, I've had people tell me how great it would be if it were Hubs's grandma's bday (12/12) my great-grandma's bday (12/15), my uncle's bday (12/16) and so forth. I'd just like to avoid our anniversary (12/19).