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Q.

A bag contains 13 white and 7 black balls. Two balls are drawn at random. What is the probability that they are of the same colour?

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a

41190

b

21190

c

99190

d

59190

answer is D.

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Detailed Solution

Total possible outcomes 

=20C2=20×191×2=190

Total favorable outcomes

=13C2+7C2=13×121×2+7×61×2=78+21=99

∴Required probability =99190

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A bag contains 13 white and 7 black balls. Two balls are drawn at random. What is the probability that they are of the same colour?