Checkpoint 7.7.5. - Rolling Dice yet again.

Suppose you roll a standard pair of 6-sided dice X times until you get a sum of 7 or 11 a third time. Determine:
  1. the expected number of rolls needed on average.
  2. P(X=5)
  3. P( X > 5)
  4. P( X < 5)
in-context