Statistics And Probability Question 200

Question: A bag contains 4 white, 5 red and 6 black balls. If two balls are drawn at random, then the probability that one of them is white is

Options:

A) $ \frac{44}{105} $

B) $ \frac{11}{105} $

C) $ \frac{11}{21} $

D) None of these

Show Answer

Answer:

Correct Answer: A

Solution:

  •         Required probability  $ =\frac{{}^{4}C_1\,.\,11}{{}^{15}C_2}=\frac{4\,.\,11\,.\,2}{15\,.\,14}=\frac{44}{105}. $