Slalom gets pretty close in some ways. It’s amazing to watch what someone highly skilled can do, even when just practicing.

If you switch a reasonable amount of your shopping there and get the “executive” membership, it will literally pay for itself. (Because it gives a few percent back, and that is enough to cover the membership fee)

Depends on how many pairs the drawer started with.

I’m imagining that initially there were say 100 socks in the drawer (50 distinct pairs) and each day she randomly chooses two socks (already very unlikely to be a pair) and has some chance of losing one or both.

In this scenario it does seem intuitively reasonable that when it gets down to 20 there might not be any pairs left, but I don’t know how to math it. I am pretty sure that the higher the number of initial (non-overlapping) pairs, the more likely it will end (at 20) with none left, but again the math is beyond me.

I’ll go one better.
A (non-spinning uncharged) black hole with diameter 1+5/8th inches (so it fits in the box) has a mass of about 2.3 earths.

(Near as I can tell QGP filling the whole box is around a ten billionth of that.)

Of course the box would Very quickly no longer be outside the black hole. QGP would also cause the box to no longer be a container in short order. To put it mildly.