We know that,
Probability of occurrence of an event
= \(\frac{Total\,no.of\,Desired\,outcomes}{Total\,no.of\,outcomes}\)
By permutation and combination, total no. of ways to pick r objects from given n objects is nCr
Now, total no. of ways to pick a ball from 20 balls is 20c1 = 20
Our desired output is to pick a black or red ball(not white). So, no. of ways to pick a black or red ball from 13 balls (because there are a total of 13 balls which are either red or black) is 13c1 = 13
Therefore, the probability of not picking a white ball = \(\frac{13}{20}\)
Conclusion: Probability of not picking a white ball from 9 red, 7 white, and 4 black balls is \(\frac{13}{20}\)