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STD 11 - 14. probability — Maths STD 11 Science — Question

CBSE BoardEnglish MediumSTD 11 ScienceMathsSTD 11 - 14. probability1 Mark
MCQ
A five digit number is formed by writing the digits $1, 2, 3, 4, 5$ in a random order without repetitions. Then the probability that the number is divisible by $4$ is
  • A
    $\frac{3}{5}$
  • B
    $\frac{{18}}{5}$
  • ✓
    $\frac{1}{5}$
  • D
    $\frac{6}{5}$
✓

Answer

Correct option: C.
$\frac{1}{5}$
c
(c) The number is divisible by $4$ if last two digits are $12, 24, 32$ and $52$. Remaining three places can be filled by $3!$ ways.
$\therefore $ Favouable cases = $3\,!\,\, \times \,\,4$
Required probability = $\frac{{3\,!\,\, \times 4}}{{5!}} = \frac{1}{5}$.

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