Question: For a specific area, the probability that it is hit by a typhoon during a year is 0.02. For the same period, the probability that

For a specific area, the probability that it is hit by a typhoon during a year is 0.02. For the same period, the probability that the area suffers severe damage due to excessive rain is 0.05, while the probability that both these events occur in a year is 0.001. Find the probability that over a particular year, the area

(i) is hit by a typhoon but there is no excessive rain;

(ii) experiences only excessive rain, but is not affected by a typhoon;

(iii) experiences neither excessive rain nor the occurrence of a typhoon;

(iv) has excessive rain or is hit by a typhoon.

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