An urn contains 9 red, 7 white, and 4 black balls. A ball is drawn at random. Find the probability that the ball is drawn is

white


We know that,


Probability of occurrence of an event


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 white ball. So, no.of ways to pick a white ball from 7 white balls(because the white ball can be picked from only white balls) is 7c1 = 7


Therefore, the probability of picking a white ball


Conclusion: Probability of picking a white ball from 9 red,


7 white and 4 black balls is


1