Statistics And Probability Question 226

Question: A bag contains 6 red, 5 white and 4 black balls. Two balls are drawn. The probability that none of them is red, is

[AI CBSE 1983]

Options:

A) $ \frac{12}{35} $

B) $ \frac{6}{35} $

C) $ \frac{4}{35} $

D) None of these

Show Answer

Answer:

Correct Answer: A

Solution:

  •         Required probability  $ =\frac{{}^{9}C_2}{{}^{15}C_2}=\frac{9\times 8}{15\times 14}=\frac{12}{35}. $