A five-digit number is written down at random. The probability that the number is divisible by 5...

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A five-digit number is written down at random. The probability that the number is divisible by 5 no two consecutive digits are identical, is
(a) \( \frac{1}{5} \)
(b) \( \frac{1}{5} \cdot\left(\frac{9}{10}\right)^{3} \)
(c) \( \left(\frac{3}{5}\right)^{4} \)
(d) none of these
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