MCQ
A five$-$digit number is written down at raddom. The probability that the number is divisible by $5$, and no two consecutive digits are identical, is:
  • A
    $\frac{1}{5}$
  • $\frac{1}{5}\big(\frac{9}{10}\big)^3$
  • C
    $\big(\frac{3}{5}\big)^4$
  • D
    $\text{None of these}$

Answer

Correct option: B.
$\frac{1}{5}\big(\frac{9}{10}\big)^3$
$\frac{1}{5}\big(\frac{9}{10}\big)^3$

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