Statistics And Probability Question 238

Question: A lot consists of 12 good pencils, 6 with minor defects and 2 with major defects. A pencil is choosen at random. The probability that this pencil is not defective is

[EAMCET 1991]

Options:

A) $ \frac{3}{5} $

B) $ \frac{3}{10} $

C) $ \frac{4}{5} $

D) $ \frac{1}{2} $

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Answer:

Correct Answer: A

Solution:

  •         Required probability  $ =\frac{{}^{12}C_1}{{}^{20}C_1}=\frac{3}{5}. $