Brainteaser iconBrainteaser - Marbles in Jars

Marbles in Jars
You are given 50 red marbles and 50 blue marbles, which are identical except for their colors. Additionally, you have 2 jars that are also identical. If you were to choose a jar at random and then select a marble from it at random, how should you distribute the marbles between the jars to maximize the likelihood of drawing a red marble? Can you justify this?