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 A bag contains four red, six black and seven green balls. Three balls are drawn randomly. What is the probability that the balls drawn contain exactly two red balls ?

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 A bag contains four red, six black and seven green balls. Three balls are drawn randomly. What is the probability that the balls drawn contain exactly two red balls ?

A). 39/340

B). 45/340

C). 51/340

D). 58/340


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Answered by on | Votes 0 |

39/340



Total balls = 4 + 6 + 7 = 17
∴ n(S) = 17C1 = 680
Two red balls can be selected from four red balls in 4C2 = 6 ways.
and the third ball can be selected from the remaining 13 balls in 13C1 = 13 ways.
∴ P (E) = 13x6/680 = 39/340

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