2018 AIME II Problems/Problem 13

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Problem

Misha rolls a standard, fair six-sided die until she rolls 1-2-3 in that order on three consecutive rolls. The probability that she will roll the die an odd number of times is $\dfrac{m}{n}$ where $m$ and $n$ are relatively prime positive integers. Find $m+n$.

2018 AIME II (ProblemsAnswer KeyResources)
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Problem 12
Followed by
Problem 14
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