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
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

Answer : 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

7/20