This coastal region has a mean crime rate of 12 crimes per year. The authorities monitor the region closely and record crime occurrences once every 3 months and rate the safety of the region (for that span of 3 months) according to the number of crimes that occur, as follows:

"Mildly Risky" if at most 1 crime occurs, "risky" if more than 1 but at most 3 crimes occur and "very risky" if more than 3 crimes occur.

The coastal region will be closed to the public if in a given year, the region receives 3 or more "very risky" ratings. Find the probability that at the end of a given year, the region will be closed to public.

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