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Off the top of my head, if we formulate it as: what are the chances that out of 10 pairs of socks we randomly pick 1 of each so that we end up with 10 non-matching socks, that is calculable and certainly the chances would be extremely low, but I can’t be bothered to calculate it precisely. Also, it’s easy to get these things wrong. I’d think that if there’s N socks in total it would be something in the order of 1/N! So yeah pretty low odds indeed.