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Expected value

Alice is riding the train to her job in Paris, France. She accidentally purchased a ticket for zone 44, but she is travelling to zone 55. She has decided to risk it and stay on the train until zone 55 with the incorrect ticket. If the transit authorities check tickets on the train, she will have to pay a fine.
Alice estimates that there is a 5%5\% chance that the transit authorities will check tickets. The fine for having the wrong ticket is 300300 euros. The ticket she purchased cost her 55 euros.
Find the total expected cost of Alice's train ride.
  • Your answer should be
  • an integer, like 66
  • a simplified proper fraction, like 3/53/5
  • a simplified improper fraction, like 7/47/4
  • a mixed number, like 1 3/41\ 3/4
  • an exact decimal, like 0.750.75
  • a multiple of pi, like 12 pi12\ \text{pi} or 2/3 pi2/3\ \text{pi}
euros