a bag contains 24 balls of which x r red, 2x are white and 3x are blue. a ball is selected at random. find the Probability that it is (1) white, (2) not red .
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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 = 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
= The number of favourable outcome / Total number of all possible outcome
= 20 / 24 = 5 / 6
(ii) The number of favourable outcomes of the ball drawn is white = 8.
∴ The probability that the drawn ball is white
= 8/ 24 = 1 / 3
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