A bag contains $7$ black, $5$ red and $3$ white balls. A ball is drawn from the bag at random. Find the probability that the ball drawn is black or white.

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Solution

Finding the probability that the ball drawn is black or white:
The total number of balls present in the bag are $7 + 5 + 3 = 15$ .
The total number of black or white balls present in the bag are $7 + 3 = 10$ .
So, the number of favorable outcomes is $10$ and the total number of outcomes is $15$ .
The formula for probability is given by
$P r o b a b i l i t y = \frac{N u m b e r o f f a v o r a b l e o u t c o m e s}{T o t a l n u m b e r o f o u t c o m e s}$
$\Rightarrow P (b l a c k o r w h i t e) = \frac{10}{15} ∴ P (b l a c k o r w h i t e) = \frac{2}{3}$
Therefore, the probability that the ball drawn is black or white is $\frac{2}{3}$ .

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