Statistics And Probability Question 195

Question: From a class of 12 girls and 18 boys, two students are chosen randomly. What is the probability that both of them are girls

Options:

A) $ \frac{22}{145} $

B) $ \frac{13}{15} $

C) $ \frac{1}{18} $

D) None of these

Show Answer

Answer:

Correct Answer: A

Solution:

  •         Required probability = $ \frac{{}^{12}C_2}{{}^{30}C_2}=\frac{12\times 11}{30\times 29}=\frac{22}{145}. $