Compute At-least Probabilities
-The probability that a region prone to hurricanes will be hit by a hurricane in any single year is $\frac { 1 } { 10 }$. What is the probability of a hurricane at least once in the next 5 years?
A) $0.40951$
B) $\frac { 1 } { 2 }$
C) $0.99999$
D) $0.00001$

Question

Quizplus · Accepted Answer

To find the probability of at least one hurricane in the next 5 years, it's easier to calculate the probability of no hurricanes occurring and subtracting that from 1. The probability of no hurricane in a single year is $1 - \frac{1}{10} = \frac{9}{10}$. For 5 years, it's $(\frac{9}{10})^5$. Thus, the probability of at least one hurricane is $1 - (\frac{9}{10})^5 = 1 - 0.59049 = 0.40951$.

Compute At-Least Probabilities -The Probability That a Region Prone to Hurricanes

Compute At-Least Probabilities
-The Probability That a Region Prone to Hurricanes