My mom had her second child, my brother on dad’s birthday. I had my second child (my son) on my husband’s birthday.
D is very wary that she will be expected to continue this tradition 
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I remember doing this in high school statistics.
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My daughter got married this weekend (it a great wedding). We had a dinner for out-of-town guests (the night before the wedding) at our house. One of the women working for the caterer was the barista in the coffee shop that my daughter goes to almost every morning. My D lives in NYC and the wedding was in the town where we live in Massachusetts!! Both of them were really surprised!!
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Another instance of the Birthday Paradox: My family and my husband’s family, prob about 35 (living people each) each have 2 pairs with the same birthday. And I’m not counting the twins! 
There are other interesting implications of this number. My community recently had a bingo night with 29 people in attendance. There were 17 games/17 prizes. Three people each won three prizes and two won two. Such a result should be expected!
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When I had my first dd I was a navy wife and we where stationed in Norfolk.
I was looking for a babysitter for dd and I answered an ad in the newspaper (long before heavy use of the internet).
I went to meet the woman who was also a Navy wife and we where talking about the usual and she said that she was from a small town in Illinois where I originally lived. I asked her where and I knew they town well.
We got to talking more. It turned out that her cousin was my boss at my previous job in Illinois and I knew several members of her family. Needless to say I left my daughter with her. It was odd meeting someone thousands of miles from home with that close of connections.
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It certainly is and everytime I’ve been part of one of those birthday paradox trials (tourist groups etc) never was my birthday one of them. This was so odd in a small local govt office, I was the oldest, then another 1 or 2 years younger than I and the 3rd about 30 years younger. All 3 of us had very much the same intellectual/curiosity/productivity characteristics but completely different politically - polar opposites - and, yes, I was the odd “gal” out.
Four kids in the elementary school had the same birthday (Oct 10, same as Brett Farve). I think there were 2 classrooms of each grade, so maybe 50 kids?
My brother and cousin have the same birthday, and I only have 2 cousins so there wasn’t a big pool. That brother married someone with his same birthday. Another brother, my mother, and grandfather had birthdays on the 15, 16, and 17 of that same month. My mother finally said “One cake. If you want your name on it, say so now.” She grew up in a house with 8 people and 4 of them had birthdays in the same 2 weeks.
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My kids birthdays are 2 years & 5 days apart. My BIL’s birthday is same month as theirs. His is the 5th, S’s is the 10th and D is the 15th.
My niece and her H are born a day apart.
My kids S/D (who everyone insists are twins) were born 1 year apart. My twin niece/nephew (who everyone refuses to believe are twins) were born at the exact midpoint between my kids’ birthdays.
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In our family we have 4 who share the same birthday-my sister, 2 nephews, and my son. In the generation after that, we have 2 sets of double birthdays, just 4 days apart.
We went on a full-day tour of the Canyon de Chelly in northeast Arizona with a Navajo guide (I HIGHLY recommend a visit - in a different way, it was as impressive if not more than the Grand Canyon, in my opinion). There was just one other older couple on the tour. We were in a Jeep all day so we had a lot of time to talk. They were from out west somewhere. It turns out their daughter was married to the son of my husband’s first boss here in Maine! It’s amazing we figured that out. It makes me wonder how many connections like this are never realized.
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