Let an ordinary fair dice is thrown for five times. If \( \mathrm{P...

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Let an ordinary fair dice is thrown for five times. If \( \mathrm{P}=\frac{\mathrm{a}}{\mathrm{b}} \) expressed in lowest form be the probability
\( \mathrm{P} \) that the outcome of the fifth throw was already thrown, then find the value of \( (a+b) \).

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