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

(i) white

(ii) not black

(iii) red or black

(iv) neither red nor black

Answer:

Given

In a bag, there are 5 red, 6 black and 4 white balls. Then, total number of outcomes = 5 + 6 + 4 = 15 (i) Probability of white ball = 4 / 15

(ii) Probability of not black = 5 + 4 = 9 balls Therefore, Probability of not black = 9 / 15 = 3 / 5

(iii) Probability of red or black = 5 + 6 = 11 Therefore, Probability of red or black = 11 / 15

(iv) Probability of ball which is neither red nor black, i.e, white ball = 4 Therefore, Probability of ball which is neither red nor black = 4 / 15

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