I think you made an arithmetic mistake here. > With X = 5/13 (40+X), or X = ...

jules · on March 1, 2011

You are right. I am unable to edit that post unfortunately. The final table becomes:

            | blue |  red |
    --------|------|------|-----
     pearls |  25  |  40  | 65
    --------|------|------|-----
     empty  |  15  |  20  | 35
    --------|------|------|-----
            |  40  |  60  | 100

And the final answer is 5/8.