Probability Question 22
Question: A bag contains 3 red, 7 white and 4 black balls. If three balls are drawn from the bag, then the probability that all of them are of the same colour is
Options:
A) $ \frac{6}{71} $
B) $ \frac{7}{81} $
C) $ \frac{10}{91} $
D) None of these
Show Answer
Answer:
Correct Answer: C
Solution:
Required probability $ =\frac{{}^{3}C_3+{}^{7}C_3+{}^{4}C_3}{{}^{14}C_3} $
$ =\frac{1+35+4}{14.13.2}=\frac{40}{14.26}=\frac{10}{91}. $
BETA
