Probability Question 28

Question: A word consists of 11 letters in which there are 7 consonants and 4 vowels. If 2 letters are chosen at random, then the probability that all of them are consonants, is

Options:

A) $ \frac{5}{11} $

B) $ \frac{21}{55} $

C) $ \frac{4}{11} $

D) None of these

Show Answer

Answer:

Correct Answer: B

Solution:

Required probability $ =\frac{{}^{7}C_2}{{}^{11}C_2}=\frac{7.6}{11.10}=\frac{21}{55}. $