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 ![]()