This is the story of all the probabilities of (i) escaping the region y>=b/a*x (ii) escaping y>b/a*x (except at the beginning, of course) with unit steps to the right and up in the discrete lattice each with prob. 1/2 starting at the origin for 2<=b<=a<=, 5 a=, 2, b=, 1, (i)=, 0.6180339887, (ii)=, 0.6909830056 a=, 3, b=, 1, (i)=, 0.5436890127, (ii)=, 0.5803566224 a=, 3, b=, 2, (i)=, 0.7481518342, (ii)=, 0.7754441182 a=, 4, b=, 1, (i)=, 0.5187900637, (ii)=, 0.5362190123 a=, 4, b=, 3, (i)=, 0.8091410707, (ii)=, 0.8229424412 a=, 5, b=, 1, (i)=, 0.5086603916, (ii)=, 0.5170258817 a=, 5, b=, 2, (i)=, 0.5876238826, (ii)=, 0.5996923731 a=, 5, b=, 3, (i)=, 0.7158769909, (ii)=, 0.7276461121 a=, 5, b=, 4, (i)=, 0.8453136528, (ii)=, 0.8534748833 ------------------------ This took, 78.220, seconds.