Question

The probability that a region prone to hurricanes will be hit by a hurricane in any single year is 0.1 and independent of other years. What is the probability of a hurricane hit at least once in the next 5 years

Answer 1

0.40951

Explanation:

P(none in five years) = 1 - 0.1 = 0.9

P(at least one) = 1 - P(none in five years)

= 1 -
`0.9^(5)`

= 1 - 0.59049

= 0.40951

So the probability of a hurricane hit at least once in the next 5 years is 0.40951