A bag contains red coloured , blue coloured ...

CBSE Class 10 Standard Math 2025 All Sets Solved Paper

Question : 16 of 20

Marks: +1, -0

A bag contains red coloured , blue coloured and green coloured balls in the ratio 2 : 3 :4. A ball is drawn at random from the given bag. The probability that the ball so drawn being not of blue colour is

$\;\frac{1}{9}$
$\;\frac{1}{3}$
$\;\frac{2}{3}$
$\;\frac{8}{9}$

Solution:

Let the number of red, blue and green balls be in the ratio 2 :3 :4.

The total number of balls is

2x + 3x + 4x = 9x

Number of blue balls = 3x

Number of non-blue balls = 2x + 4x = 6x

Probability (not Blue) =

\frac{\text{No of non - blue balls}}{\text{Total numbers of balls}}

=\;\frac{6x}{9x}

=\;\frac{2}{3}

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