So I was writing a little allegorical paragraph which invited the reader to imagine a poker game in which a dispute arises over whether a flush beats a straight or not. “(The one holding the straight,” I explained, “is a math nerd who assumes that the rank reflects the probability.)”
But it’s a lucky thing I stopped to make sure. There are 10×45 = 10240 possible straights, and only 4×13!/5!8! = 5148 possible flushes. Yet somehow I’ve believed for most of my life that a straight is more unlikely than a flush, and the ranking of flushes over straights a mere arbitrary anomaly. I wonder how the heck I got that idea.
(I’ve temporarily removed poker from the spam list so that you can respond to this without excessive awkwardness. If after clicking the button you find yourself looking at the FBI’s homepage, you’ve found another word on the list.)