A bag contains 5 black, 7 red and 3 white balls. A ball is drawn from the bag at random. Find the probability that the ball drawn is not black.
Given:
A bag contains 5 black, 7 red and 3 white balls. A ball is drawn from the bag at random.
To do:
We have to find the probability that the ball drawn is not black.
Solution:
Number of black balls $=5$
Number of red balls $=7$
Number of white balls $=3$
Total number of balls $=5+7+3=15$
This implies,
The total number of possible outcomes $n=15$.
Here, not a black ball implies a red or a white ball.
Total number of favourable outcomes(drawing a red or a white ball) $=7+3=10$.
We know that,
Probability of an event $=\frac{Number\ of\ favourable\ outcomes}{Total\ number\ of\ possible\ outcomes}$
Therefore,
Probability that the ball drawn is not black $=\frac{10}{15}$
$=\frac{2}{3}$
The probability that the ball drawn is not black is $\frac{2}{3}$.
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