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There are 6 red and 8 green balls in a bag. 5 balls are drawn at random and placed in a red box. The

There are 6 red and 8 green balls in a bag. 5 balls are drawn at random and placed in a red box. The remaining balls are placed in a green box. What is the probability that the number of red balls in the green box plus the number of green balls in the red box is not a prime number?

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