A bag contains 24 balls of which x are red, 2x are white and 3x are blue. A ball is selected at random. What is the probability that it is

(i) not red?


(ii) white


Given that, A bag contains total number of balls = 24

A bag contains number of red balls = x


A bag contains number of white balls = 2x


and a bag contains number of blue balls = 3x


By condition, x + 2x + 3x = 24


6x = 24


x = 4


Number of red balls = x = 4


Number of white balls = 2x = 2×4 = 8


and number of blue balls = 3x = 3×4 = 12


So, total number of outcomes for a ball is selected at random in a bag contains 24 balls.
n(S) = 24


(i) Let E1 = Event of selecting a ball which is not red i.e., can be white or blue.


n(E1) =Number of white balls + Number of blue balls


n(E1) = 8 + 12 = 20



(ii) Let E2 Event of selecting a ball which is white


Number of white ball = 8


So, required probability


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