A bag contains 4 white and 5 black balls. A ball is drawn at random from the bag. Find the probability that the ball is drawn is white.
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 9 balls is ${ }^{9} \mathrm{C}_{1}=9$
Our desired output is to pick a white ball. So, no.of ways to pick a white ball from 4 white balls (because the white ball can be picked from only white balls) is ${ }^{4} \mathrm{c}_{1}=4$
Therefore, the probability of picking a white ball $=\frac{4}{9}$
Conclusion: Probability of picking a white ball from 4 white balls and 5 white balls is $\frac{4}{9}$
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