# A Bag Contains 4 Red, 5 Black and 6 White Balls. a Ball is Drawn from the Bag at Random. Find the Probability that the Ball Drawn Is: White - Mathematics

A bag contains 4 red, 5 black and 6 white balls. A ball is drawn from the bag at random. Find the probability that the ball drawn is:

white

#### Solution

$\text{ Number of red balls } = 4$
$\text{ Number of black balls } = 5$
$\text{ Number of white balls } = 6$
$\text{ Total number of balls in the bag } = 4 + 5 + 6 = 15$
$\text{ Therefore, the total number of cases is } 15 .$

$\text{ Let A denote the event of getting a white ball } .$
$\text{ Number of favourable outcomes. number of white balls } =6$
$P\left( A \right) = \frac{\text{ Number of favourable outcomes }}{\text{ Total number of outcomes }} = \frac{6}{15} = \frac{2}{5}$

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#### APPEARS IN

RD Sharma Class 8 Maths
Chapter 26 Data Handling-IV (Probability)
Exercise 26.1 | Q 11.1 | Page 15