A multiple choice examination has $5$ questions. Each question has three alternative answers of which exactly one is correct. The probability that a student will get $4$ or more correct answers just by guessing is :

  • [JEE MAIN 2013]
  • A

    $\frac{{17}}{{{3^5}}}$

  • B

    $\;\frac{{13}}{{{3^5}}}$

  • C

    $\;\frac{{11}}{{{3^5}}}$

  • D

    $\;\frac{{10}}{{{3^5}}}$

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