Quantitative Aptitude Ques 1846

Question: A bag contains 6 red, 4 white and 8 blue balls. If three balls are drawn at random, the probability of getting one red, one white and one blue is

Options:

A) $ \frac{4}{5} $

B) $ \frac{18}{91} $

C) $ \frac{15}{78} $

D) $ \frac{4}{17} $

Show Answer

Answer:

Correct Answer: C

Solution:

  • Total number of outcome $ ={}^{18}C _3 $ Favourable cases $ ={}^{6}C _1\times {}^{4}C _1\times {}^{8}C _1 $ Probability $ =\frac{{}^{6}C _1\times {}^{4}C _1\times {}^{8}C _1}{{}^{18}C _3}=\frac{6\times 4\times 8}{\frac{18\times 17\times 16}{3\times 2\times 1}}=\frac{4}{17} $
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