A bag contains $4$ white balls, $6$ red balls, $7$ black balls and $3$ blue balls. One ball is drawn at random from the bag. Find the probability that the ball drawn is red or white.

Open in App

Solution

Step 1: Finding the probability that the ball drawn is red or white.
There are $4$ white balls, $6$ red balls, $7$ black balls and $3$ blue balls.
So, the total outcomes are $20$ .
As there are $4$ white balls and $6$ red balls, the favorable outcomes will be $4 + 6 = 10$ .
The formula to compute the probability is expressed as,
$P r o b a b i l i t y = \frac{N o o f f a v o r a b l e o u t c o m e s}{T o t a l o u t c o m e s}$
Substitute the number of favorable outcomes as $10$ and the total number of outcomes as $20$ .
$\Rightarrow P (r e d o r w h i t e b a l l) = \frac{10}{20} ∴ P (r e d o r w h i t e b a l l) = \frac{1}{2}$
Therefore, the probability that the ball drawn is red or white is $\frac{1}{2}$ .

Suggest Corrections

Similar questions

Q. A bag contains 5 white balls, 7 red balls, 4 black balls and 2 blue balls. A ball is drawn at random from the bag. Find the probability that the drawn ball is (i) white or blue, (ii) neither white nor black.

Q. A bag contains 3 red, 5 black and 7 white balls. One ball is drawn at random from the bag. What is the probability that the ball drawn is
(i) white
(ii) red
(iii) not red
(iv) red or white?

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

A bag contains $4$ white balls, $6$ red balls, $7$ black balls and $3$ blue balls. One ball is drawn at random from the bag. Find the probability that the ball drawn is white.

Q. A box contains

4

white balls,

6

red ball,

7

black balls and

3

blue balls. One ball is drawn at random from the bag. Find the probability that the ball drawn is :
(i) neither white nor black
(ii) red or white, and
(iii) either white or red or black or blue

Join BYJU'S Learning Program

A bag contains 4 white balls, 6 red balls, 7 black balls and 3 blue balls. One ball is drawn at random from the bag. Find the probability that the ball drawn is red or white.

A bag contains $4$ white balls, $6$ red balls, $7$ black balls and $3$ blue balls. One ball is drawn at random from the bag. Find the probability that the ball drawn is red or white.