September 24, 2015

Problems we hadn't started worrying about yet

Futility Closet - In 1984 Donald E. Knuth noticed that the toilet paper dispensers in Stanford’s computer science department hold two rolls of tissue, both of which are available for use. Suppose there are two sorts of people in the world, those who are disposed to draw from the larger roll and those who draw from the smaller roll, and that each user takes exactly one sheet from his favored roll. What’s the expected number of sheets remaining just after one of the two rolls has been emptied? Donald E. Knuth’s Toilet Paper Problem.
 

2 comments:

Capt. America said...

One.

Louis Massano said...

Reminds me of an ancient joke:

Question: "Did you hear about the constipated mathematician?
Answer: "Yes - He worked it out with a pencil."