Probability Question 107
Question: A bag contains 6 white, 7 red and 5 black balls. If 3 balls are drawn from the bag at random, then the probability that all of them are white is
Options:
A) $ \frac{20}{204} $
B) $ \frac{5}{204} $
C) $ \frac{1}{3} $
D) None of these
Show Answer
Answer:
Correct Answer: B
Solution:
3 ball can be drawn in $ {}^{18}C_3 $ ways Favourable cases $ ={}^{6}C_3 $
$ \therefore $ Required probability $ =\frac{{}^{6}C_3}{{}^{18}C_3}=\frac{6\times 5\times 4}{18\times 17\times 16}=\frac{5}{204} $ .
BETA
