Question
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:
  1. $\frac{1}{5}$
  2. $\frac{1}{5}\big(\frac{9}{10}\big)^3$
  3. $\big(\frac{3}{5}\big)^4$
  4. $\text{None of these}$

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