August 2021 - Solution
"Artifical" solutions such as [0.0000001, 0.000001, 0.00001, 0.0001, 0.001, 0.01, 0.1, 1.0] can be constructed, although it might be less fun. An example of non-artifical solution is [0.035, 0.008, 0.5, 0.9, 0.25, 0.017, 0.125, 0.07]. Solutions can be found by simply computing explicitly the success probabilities by solving the recurrence equations.