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 red
We know that
Probability of occurrence of an event
$=\frac{\text { Total no.of Desired outcomes }}{\text { Total no.of outcomes }}$
By permutation and combination, total no.of ways to pick $r$ objects from given $n$ objects is ${ }^{n} C_{r}$
Now, total no.of ways to pick a ball from 20 balls is ${ }^{20} \mathrm{C}_{1}=20$
Our desired output is to pick a red ball. So, no.of ways to pick a red ball from 9 red balls (because the red ball can be picked from only red balls) is ${ }^{9} \mathrm{C}_{1}=9$
Therefore, the probability of picking a red ball $=\frac{9}{20}$
Conclusion: Probability of picking a red ball from 9 red,
7 white and 4 black balls is $\frac{9}{20}$
Click here to get exam-ready with eSaral
For making your preparation journey smoother of JEE, NEET and Class 8 to 10, grab our app now.