Mathematics - Permutation & Combination Question with Solution | TestHub

There are 6 red ball, and 6 green balls in a bag 5 balls are drawn out at random and placed in a red box. The remaining 7 balls are put in green box. If the probability that the number of red balls in the green box plus the number of green balls in red box is not prime number is $\frac{p}{q}$ where $\mathrm{p},\mathrm{q}$ are relatively prime the value of $(\mathrm{p}+\mathrm{q})$ is