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A bag contains 8 red, 6 white and 4 black balls. A ball is drawn at random from the bag. Find the probability that the drawn ball is(i) Red or white(ii) Not black(iii) Neither white nor black |
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Answer» Total no. of possible outcomes = 8 + 6 + 4 = 18 {8 red, 6 white, 4 black} (i) E ⟶ event of getting red or white ball No. of favourable outcomes = 4 {4 black balls} P(E) = 4/18 = 2/9 (Bar E) ⟶event of not getting black ball P(Bar E)=1−P(E)=1−2/9 = 7/9 (ii) E ⟶ event of getting neither white nor black. No. of favourable outcomes = 15 – 6 – 4 = 8 {Total balls – no. of white balls – no. of black balls} P(E) = 8/18 = 4/9 |
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