@inbook{10.2307/j.ctt7ssjr.8,
ISBN = {9780691155005},
URL = {http://www.jstor.org/stable/j.ctt7ssjr.8},
abstract = {Suppose there arempeople in your survey and that we let Y denote the total number of YES answers. With probability$\frac{1}{2}$, the coin shows tails on the first flip, so$\frac{1}{2}m$people will answer the EQ. (This argument is implicitly assuming thatmis large.) For the other$\frac{1}{2}m$people, who flip the coin a second time, half will answer YES (the second flip showed heads) and half will answer NO (the second flip did not show heads). That is,$\frac{1}{4}m$YES answers are for the non-EQ. So,$Y - \frac{1}{4}m$YES answers are for the EQ, generated from},
bookauthor = {Paul J. Nahin},
booktitle = {Duelling Idiots and Other Probability Puzzlers},
pages = {81--174},
publisher = {Princeton University Press},
title = {The Solutions},
year = {2000}
}