Awesome. No wonder I couldn't find a reason for it being 6.
________________________________ From: Mark Rickert <email@example.com> To: firstname.lastname@example.org Sent: Wednesday, 14 August 2013, 7:24 Subject: Re: (no subject)
Update: I wrote a Python program to calculate the expected number of flips through 100 flips. With 633825300114114700748347035945 / 633825300114114700748351602688 of the pdf accounted for, the expected value is 475678132457662109973083628357 / 79228162514264337593543950336 = 6.00390211463 flips.
After 1000 flips, the change to the expected value doesn't show up in the 11 digits to the right of the decimal point.