Hint to Riddle #68: Arrangements of Red & Blue Marbles

68. You have 50 red marbles and 50 blue marbles, other wise identical. You have 2 identical jars. A marble will be selected at random, from a jar selected at random. How would you apportion the marbles so as to maximise the chances of a red marble being selected?
Can you prove it?
3D surface plot of the solution for the red blue marble problem. We're aiming quite high here the probability is going to be just under 75%. The graph here may be considered a clue.

It's worth noting that the question does not say that there has to be 50 marbles in each jar.

If we could get one of the jars up to 100% red without dropping the percentage red in the other jar too far...

Where next?
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