[All Steps] An infestation of a certain species of caterpillar, the spruce budworm, can cause extensive damage of the timberlands of Northern United States.


Question: An infestation of a certain species of caterpillar, the spruce budworm, can cause extensive damage of the timberlands of Northern United States. It is known that an outbreak of this type of infestation occurs, on average, every 30 years. Assuming that this phenomenon obeys an exponential probability law, what is the probability that catastrophic outbreaks of spruce budworm infestation will occur within 6 years of each other?

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