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