Here are five red balls, three yellow balls, and four green balls in a bin. in each event, you pick one ball from the bin and observe the color of the ball. the balls are only distinguishable with their colors. after observation, you put the ball back into the bin. you can re-color or re-paint one ball of your choice to any of the three colors (red, yellow, green). which ball would you re-color and to which color in order to maximize the entropy?
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