Sock Loss, Explained
Thursday, November 20th, 2008By raincoaster
You find the most interesting things on the Internet. Surely everyone has experienced inexplicable sock loss at some point in their lives. Indeed, from the ages of 4-6, I myself had a sneaking suspicion that a tiny gremlin with a footwear fetish lived in our dryer.
Which he may well have done. It was an odd household.
But here, by way of Stephen Fry’s Twitter stream, comes a scientific study of the lost sock phenomenon:
Odd socks: a combinatoric example of Murphy’s Law
(Mathematics Today March-April 1996 39-41)
Abstract: We use combinatorics to examine the notorious ubiquity of unmatched – “odd” – socks. Using a random-loss model we show that (a) the disappearance of socks is indeed heavily biased towards the accumulation of odd socks; (b) random loss of just half the socks typically cuts the number of complete pairs left by 75 per cent; (c) the problem of finding matching pairs remains formidable, even after removal of all the odd socks. We suggest a remedy based on two varieties of socks.
Indeed, this is a coping strategy I’ve adopted spontaneously in response to a world which insists on sock monogamy: I have two kinds of socks, Good Socks and Tube Socks. Since all the Good Socks are black and all the Tube Socks are white, even if I lose one I hardly notice.




