Question: 7. (extra credit, 2 pts.) A single fair 6-sided die is rolled independently on successive trials. We continue rolling the single die after a '6'

7. (extra credit, 2 pts.) A single fair 6-sided die is rolled independently on successive trials. We continue rolling the single die after a '6' appears for a first time until the second '6' shows up. Let X be the number of rolls required to obtain this second occurrence of a '6' (we are not rolling a pair of dice). For example, if the first '6' occurs on the 8th roll and the second '6' occurs on the 12th roll, then X=12. What is P(X > 10) = ? Show your work. Suggestion: argue what must happen on the first ten rolls for the given event

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