Also, if my math is correct, if you start with X dollars, and bet $1 per coin flip with this coin weighted 2/3 in your favor, the probability that you'll ever go broke is:


0.375 * (1/3)^(x-1)


Start w/ $1 = 3/8 chance you'll ever go broke

Start w/ $2 = 1/8 chance you'll ever go broke

Start w/ $3 = 1/24 chance you'll ever go broke

Start w/ $4 = 1/72 chance you'll ever go broke

etc.