A bag contains 5 red, 8 white and 7 black balls. A ball is drawn from the bag at random. Find the probability that the drawn ball is
(i) red or white
(ii) not black
(iii) neither white nor black.

Question

A bag contains 5 red, 8 white and 7 black balls. A ball is drawn from the bag at random. Find the probability that the drawn ball is (i) red or white (ii) not black (iii) neither white nor black.

KnowledgeBoat · Accepted Answer

Since, a ball is drawn at random from the bag, so all the balls are equally likely to be drawn. Total number of balls in the bag = 5 + 8 + 7 = 20. So, the sample space of the experiment has 20 equally likely outcomes. (i) Let E₁ be the event 'a red or white ball is drawn'. The number of red or white balls = 5 + 8 = 13. So, the number of favourable outcomes to the E₁ = 13. ∴ P(E₁) = P(a red or white ball) = Hence, the probability that the ball drawn is red or white is (ii) Drawing a not black ball means drawing a red or white ball. ∴ P(not black ball) = P(a red or white ball) = Hence, the probability that the ball drawn is not a black ball is (iii) If a ball drawn is neither white nor black it means a red ball is drawn. No. of red balls = 5. ∴ P(a red ball is drawn) = Hence, the probability that a red ball is drawn is

Mathematics

A bag contains 5 red, 8 white and 7 black balls. A ball is drawn from the bag at random. Find the probability that the drawn ball is
(i) red or white
(ii) not black
(iii) neither white nor black.

Probability

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