Mystery solved: I had miscalculated the average amount wagered.
Quote:
Originally Posted by heehaww
Σ[k(37/38)k-1]/38 from k=1 to 26
k=26 is different because the game will last 26 spins whether the 26th spin is won or lost.
So the avg duration is that sum from k=1 to
25, plus 26(37/38)²⁵
= 38 - (26*37 + 37²)(37/38)²⁴/38 + 26(37/38)²⁵
= 19.00431714
Multiply that by -1/19 and you get -1.000227218