MathDB
Die Problem

Source: 2018 AIME II #13

March 23, 2018
AMCAIMEAIME IIDiceprobabilityproblem 13

Problem Statement

Misha rolls a standard, fair six-sided die until she rolls 11-22-33 in that order on three consecutive rolls. The probability that she will roll the die an odd number of times is mn\tfrac{m}{n}, where mm and nn are relatively prime positive integers. Find m+nm+n.