# A Bag Contains 6 Red, 8 Black and 4 White Balls. a Ball is Drawn at Random. What is the Probability that Ball Drawn is Not Black? - Mathematics

A bag contains 6 red, 8 black and 4 white balls. A ball is drawn at random. What is the probability that ball drawn is not black?

#### Solution

$\text{ Number of red balls } = 6$
$\text{ Number of black balls }= 8$
$\text{ Number of white balls } = 4$
$\text{ Total number of balls }= 6 + 8 + 4 = 18$
$\therefore \text{ Total number of cases } = 18$
$\text{ Again, number of balls that are not black } = 18 - 8 = 10$
$\text{ Thus, the number of favourable cases is }10 .$
$\therefore P\left( \text{ the drawn ball is not black }\right) = \frac{\text{ Number of favourable cases }}{\text{ Total number cases }} = \frac{10}{18} = \frac{5}{9}$

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#### APPEARS IN

RD Sharma Class 8 Maths
Chapter 26 Data Handling-IV (Probability)
Exercise 26.1 | Q 9 | Page 15