Knuth wrote a paper on toilet paper dispensers with two rolls, with the assumption that a user has a fixed probability of choosing the smaller roll. He then use

Knuth wrote a paper on toilet paper dispensers with two rolls, with the assumption that a user has a fixed probability of choosing the smaller roll. He then uses all sorts of crazy math to analyze how much paper will be left when the smaller roll is emptied. This method could be used to analyze the Frost poem situation if a traveler has probability p of choosing the path less taken. http://gi.cebitec.uni-bielefeld.de/teaching/2007summer/jclub/papers/toiletPaper.pdf http://gi.cebitec.uni-bielefeld.de/teaching/2007summer/jclub... P.S. I go with the regret interpretation of the poem. "I shall be telling this with a sigh" makes it pretty clear.