Question

A bag contains 24 balls In which red balls x, white balls 2x and blue balls 3x. A ball at  random drawn. What ¡s the probability that the ball drawn is :

(i) Not red 

(ii) White 

Answer 1

The number of red, white and blue balls in the bag are x, 2x and 3x respectively.

Total number of balls = 24

⇒ x + 2x + 3x = 24

6x = 24

x = \(\frac { 24 }{ 6 }\) = 4

∴ Red balls = 4

White balls 

= 2 × 4 = 8

And blue balls 

= 3 × 4 = 12

Total number of all possible outcomes = 24.

(i) Number of balls which are not red 

= 8 + 12 = 20

∴ The favourable outcomes of not a red ball = 20

∴ The probability that the ball drawn is not red

= \(\frac { 20 }{ 24 }\) = \(\frac { 5 }{ 6 }\)

(ii) The number of favourable outcomes of the ball drawn is white = 8.

∴ The probability that the drawn ball is white 

= \(\frac { 8 }{ 24 }\) = \(\frac { 1 }{ 3 }\)