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Probabilities of compound events

Marvin lives in Stormwind City and works as an engineer in the city of Ironforge. In the morning, he has 33 transportation options (teleport, ride a dragon, or walk) to work, and in the evening he has the same 33 choices for his trip home.
If Marvin randomly chooses his method of travel in the morning and in the evening, what is the probability that he teleports at least once per day?
  • Your answer should be
  • an integer, like 66
  • an exact decimal, like 0.750.75
  • a proper fraction, like 1/21/2 or 6/106/10
  • an improper fraction, like 10/710/7 or 14/814/8
  • a mixed number, like 1 3/41\ 3/4