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You have two jars, 50 red marbles and 50 blue marbles. A jar will be picked at random, and then a marble will be picked from the jar. Placing all of the marbles in the jars, how can you maximize the c

You have two jars, 50 red marbles and 50 blue marbles. A jar will be picked at random, and then a marble will be picked from the jar. Placing all of the marbles in the jars, how can you maximize the chances of a red marble being picked? What are the exact odds of getting a red marble using your scheme?
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TommySzalapski
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Put one red marble in one jar and all the other marbles in the other.
Your chances are 1/2 + 49/99 of getting a red marble.
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TommySzalapski
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So 74.7474747474747....%