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?
Can you prove it?
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...
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