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