Probability Question 78
Question: From a group of 7 men and 4 ladies a committee of 6 persons is formed, then the probability that the committee contains 2 ladies is
Options:
A) $ \frac{5}{13} $
B) $ \frac{5}{11} $
C) $ \frac{4}{11} $
D) $ \frac{3}{11} $
Show Answer
Answer:
Correct Answer: B
Solution:
Total number of ways to select 6 persons out of $ 11={}^{11}C_6 $
Ways to select two ladies $ ={}^{4}C_2 $
Ways to select four men $ ={}^{7}C_4 $
$ \therefore $
Probability that committee contain 2 ladies $ =\frac{{}^{4}C_2.{}^{7}C_4}{{}^{11}C_6}=\frac{5}{11}. $
BETA
