On any one day, there are 1000 cars on the roads of a small town. The probability of any one
car crashing on a given day is 0.002. The town has three paramedics. Whenever an accident
occurs, a paramedic goes to the scene and remains there for the rest of the day caring for
the accident victims. Assume that the safety record of any one car is independent of that of
all the other cars.
If all three paramedics are called out to the different accident scenes, then victims at any
additional accident scenes would not be able to receive medical attention. The exact
probability that accident scenes on a particular day will not be able to receive medical
attention by any of the town's three paramedics is (to 4 decimal places):
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