SOLUTION: The probability that a region prone to hurricanes will be hit by a hurricane in any single year is 15. What is the probability of a hurricane at least once in the next five years?

Algebra.Com
Question 530920: The probability that a region prone to hurricanes will be hit by a hurricane in any single year is 15. What is the probability of a hurricane at least once in the next five years?
Answer by stanbon(75887)   (Show Source): You can put this solution on YOUR website!
The probability that a region prone to hurricanes will be hit by a hurricane in any single year is 0.15.
What is the probability of a hurricane at least once in the next five years
-----
P(at least one) = 1 - P(none in five years)
-----
= 1 - 0.85^5
----
= 1 - 0.44
---
= 0.56
================
Cheers,
Stan H.
================

RELATED QUESTIONS

The probability that a certain region in Mexico will be hit by a hurricane in any given... (answered by solver91311)
For the past 111 years, a certain state suffered 32 direct hits from major(category 3 to... (answered by mathmate)
For the past 107 ​years, a certain state suffered 28 direct hits from major​... (answered by MathLover1)
Suppose the National Hurricane Center forecasts that hurricanes will hit the strike area... (answered by stanbon)
The National Hurricane Center forecasts that hurricanes will hit the strike areas with a... (answered by stanbon)
A particular area of Florida near the Gulf of Mexico is periodically hit by hurricanes.... (answered by ikleyn)
A region is prone to flooding once every 20 years. The probability of flooding in any one (answered by jorel1380)
A region is prone to flooding once every 20 years the probability of flooding in any on... (answered by stanbon)
Find the indicated probabilities using the geometric distribution, the Poisson... (answered by Boreal)