Probability Question 87
Question: A committee consists of 9 experts taken from three institutions A, B and C, of which 2 are from A, 3 from B and 4 from C. If three experts resign, then the probability that they belong to different institutions is
[Roorkee Qualifying 1998]
Options:
A) $ \frac{1}{729} $
B) $ \frac{1}{24} $
C) $ \frac{1}{21} $
D) $ \frac{2}{7} $
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Answer:
Correct Answer: D
Solution:
Required probability $ =\frac{{}^{2}C_1\times {}^{3}C_1\times {}^{4}C_1}{{}^{9}C_3}=\frac{2\times 3\times 4}{( \frac{9\times 8\times 7}{3\times 2} )}=\frac{2}{7} $ .
BETA
