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14.Probability
easy
A bag contains $6$ red, $4$ white and $8$ blue balls. If three balls are drawn at random, then the probability that $2$ are white and $1$ is red, is
A
$\frac{5}{{204}}$
B
$\frac{7}{{102}}$
C
$\frac{3}{{68}}$
D
$\frac{1}{{13}}$
Solution
(c) Required probability $ = \frac{{{}^4{C_2} \times {}^6{C_1}}}{{{}^{18}{C_3}}} = \frac{3}{{68}}.$
Standard 11
Mathematics