Suppose you have a fair 6-sided die (i.e. a discrete random variable uniformly distributed on the integers {1, 2, ...,6}). Consider rolling the die repeatedly until either (A) you roll the number "1" or (B) you roll the number "2" twice in a row. Let X be the number of die rolls it takes for you to reach either condition (A) or condition (B). Calculate E[X].