Three integers are chosen at random from the first $20$ integers. The probability that their product is even, is

  • A

    $\frac{2}{{19}}$

  • B

    $\frac{3}{{29}}$

  • C

    $\frac{{17}}{{19}}$

  • D

    $\frac{4}{{19}}$

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  • [JEE MAIN 2019]

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