Multiple choice

There are 6 red balls & 8 green balls in a bag. 5 balls are drawn out at random & placed in a red box; the remaining 9 balls are put 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?

  1. $213/1001$
  2. $48/1001$
  3. $165/1001$
  4. None of the above

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A Correct answer