A 10-year hurricane is subjected to occur at a given region. Determine the probability that:
a) Only one such hurricane occurs within the next 10 years;
b) no such hurricane occurs within the next 10 years;
c) at least one hurricane occur within the next 10 years;
d) no such hurricane occurs within the next 15 years;
e) no more than 3 such hurricanes occur within the next 15 years;
f) at least 3 hurricanes occur within the next 20 years; g) there will be hurricane(s) within the next 20 years.
h) no such hurricane occurs within the next year (a hurricane-free year);
i) there will be 3 hurricane-free years within the next 5 years;
j) there will be no hurricane-free year within the next 5 years;
k) the 2nd hurricane-free year is within the next 5 years.