You have two jars and hundred marbles. Fifty of the marbles are red, and fifty are blue. You must place all 100 marbles in the jars. You can decide how many and what marbles to be placed in each of the jars. Each jar can hold 100 marbles. One of the jars will be chosen at random; then 1 marble will be withdrawn from that jar at random. How do you maximize the chance that a red marble will be chosen? What is the chance of selecting a red marble when using your scheme?
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