Nope. I factored women into that equation. 1 out of every 913
women is born under the black moon. See, same thing.
The ratio of 1 woman to every 7 men reduces your chance of getting a girlfriend, but still doesn't change my numbers. It may reduce the number of girlfriends you've had, but even if you've only had one, it's still one out of 913 per girl.
There are a few assumption that throw off the number. I'm assuming that births are evenly distributed through the year. It's possible that the black moon appeared in high or low periods during the period of the age group you're willing to date, but still minor changes.
As far as you sharing the birthday with her brother, that is probably more likely than 1 in 10,000. Most peoples siblings are within a few years age and you probably only date people around +-5 year of your age. So that's a range of 26 years which is around 9500 days.
You cannot really combine the odds with the black moon things otherwise I could think how unlikely it was that I dated someone with the same color eyes as me, who likes the same songs, who had a dog who shared my first and middle name, who's friend was my 2nd cousin who I'd never met before and whose family moved 5 hours away to the same town that my family moved to. The odds of everything that happen are astronomical, but there are so many unlikely things that could happen that it's more likely they will happen than only ordinary things. For example, it's much more likely that many people will win the Lotto more than once than the odds of you winning even one time.
I had something happen to me once which is the most unlikely measurable thing I've ever seen. I rolled a couple handfuls of dice and they all landed on the number 2. I believe there were in the 20's of dice and they were not all six sided. I think it was.
d4
d4
d6
d6
d6
d6
d6
d8
d8
d10
d10
d10
d10
d10
d10
d10
d10
d12
d12
d20
d20
I know it was those for sure, but there may have been more. d# means a die with # of sides. So a D4 has 4 sides and a d20 has 20. Now if I had rolled all 1's 3's or 4's it would have been just as weird so that has to be factored in. So the first d4 would be just one.
1*4*6*6*6*6*6*8*8*10*10*10*10*10*10*10*10*12*12*20*20
=
1.14661786 × 10^19
or
1 in 11,466,178,600,000,000,000
The weird thing was I dropped about 6 of the dice and I thought it was weird that they were all 2's. I throw a few more down and yet more twos, I called my friend over as I rolled the rest of the dice one by one and they kept coming up 2's. Not a single other number. Weird huh?