That is not the only way to write the program. It could print out the proportion of boys in the population. Then the first run would print 2/3 boys, followed by 1/3 boys for the second run. With no stopping rule the expected value of the proportion will come out to be 1/2. Does the stopping rule shift this expected value away from one half.
Now it is obviously obvious that it is entirely obvious that these two questions are the same and must have the same answer. Sadly Steven Landsburg is a fully paid up member of the awkward squad and asks "Oh really? Are you sure?" Where are your social skills Steve? My blatant over use of the word obvious makes it clear that I haven't a clue and will panic if pressed so you shouldn't have asked.
I'm trying to decide if the stopping rule skews the demographics. Am I trying to decide if the stopping rule nudges the expected value of the number of surplus boys away from zero? Am I trying to decide if the stopping rule nudges the proportion of boys away from one half? The first kind of mathematical panic is when you cannot decide if your answer is correct. The second kind of mathematical panic is when you cannot decide if you have understood the question.
|< impossible games. and: Merry Festivus! | Looking back at the past year. >|