Well, they were given to Gil-Galad, Cirdon, and Galadriel (all elves)… by another elf, yes, but still.

And they were still bound to the power of the One. Annatar still deceived Celebrimbor, even if he wasn’t there when the Three were made.

So technically the quote is still correct.

It wouldn’t. A tetrahedron has four sides, hence the name, while an Egyptian-style pyramid has five (if you include the base, otherwise it isn’t even a polyhedron).

No, I agree that independence is necessary, not just because of “always”, but because if, as a crude example, your odds of hitting B halve each time you hit A, an infinite number of tries isn’t guaranteed to give you Shakespeare, even if the odds aren’t technically 0. My problem was that what you originally described wasn’t independence, it’s uniformity, which isn’t a prerequisite. And it’s up to 9 upvotes now so I don’t know what’s going on.

What? That’s not what independence means. They need to be independent, yes, because otherwise you might get into weird corner cases where the probably doesn’t converge to 1, but they don’t have to be equally likely. In fact, weighing the odds based on how often letters are used by Shakespeare should lower the expected timeframe. Heck, Shakespeare doesn’t use “J”, why would that key even be relevant? Where in the world do normal distributions even come into this? How does this comment have 4 upvotes? What am I missing here?

Oh no, I’m so sorry, the microplastics got you too: https://en.wikipedia.org/w/index.php?title=Language_and_the_euro&diffonly=true#Written_conventions_for_the_euro_in_the_languages_of_EU_member_states

… it’s not really an opinion piece? It’s mostly a breakdown of the church’s dubious history and leadership. I’m sure they also do video game stuff, but that feels like it has no bearing on the actual facts presented.

It seems quite a few modern birds (Aves) lineages survived the K-Pg extinction (at least 5, last I checked), but when exactly they diversified is apparently still a contentious issue. The common ancestor almost definitely lived sometime during the cretaceous, so not THAT long ago in the grand scheme of things, but it definitely lived either before or during T-rex’s reign.

I was referring to Avialae, which is the clade defined as all dinosaurs more closely related to budgies than to deinonychus. Many of them would have seemed quite birdy to us, but like the other dinosaurs not many of them made it to the current day and the ones that did are all Aves.

In case anyone genuinely has this misconception: birds branched off from the other dinosaurs during the Jurassic, probably over 100 million years before the astroid hit. Dinos didn’t suddenly grow feathers and a beak because a big rock hit them.