# A Bag Contains 3 Red Balls, 5 Black Balls and 4 White Balls. a Ball is Drawn at Random from the Bag. What is the Probability that the Ball Drawn Is: Red? - Mathematics

A bag contains 3 red balls, 5 black balls and 4 white balls. A ball is drawn at random from the bag. What is the probability that the ball drawn is:

red?

#### Solution

$\text{ Number of red balls }= 3$
$\text{ Number of black balls } = 5$
$\text{ Number of white balls } = 4$
$\text{Total number of balls } = 3 + 5 + 4 = 12$
$\text{ Therefore, the total number of cases is }12 .$

$\text{ Since there are 3 red balls, the number of favourable outcomes is 3 }.$
$P\left(\text{ a red ball } \right) = \frac{\text{ Number of favourable cases }}{\text{ Total number of cases }} = \frac{3}{12} = \frac{1}{4}$

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#### APPEARS IN

RD Sharma Class 8 Maths
Chapter 26 Data Handling-IV (Probability)
Exercise 26.1 | Q 7.2 | Page 15