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if you scramble a rubiks cube up there is a good chance that it is the first cube to be in that state. there are 43,252,003,247,489,856,000 possible states that a cube(3x3) can be scrambled up in to.
Not only that, but every single one of those configurations is solvable in 20 moves or less! https://www.cube20.org/
The chance that a mixed up 52 card deck was in that combination is pretty slim too. Probability is roughly an 8 with 67 zeros to 1. And don't hope for that flush draw, kid, it's even more unlikely.
And the thing that makes that particular statistic insane to me is that every single one of those possible arrangements is no further than 20 face turns from being fully solved again.
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