Chapter 13.3, Problem 37E

To determine

To find: The probability of hurricane hitting the South Carolina.

Answer to Problem 37E

The probability of hurricane hitting the South Carolina is $\frac{1}{5}$

Explanation of Solution

The probability of the successful outcome of an event is given by,

  $P\left(s\right)=\frac{s}{s+f}$

The probability of failure is given by,

  $P\left(f\right)=1-P\left(s\right)$

The odds of an event is given by,

  $\begin{array}{c}\text{Odds}=\frac{P\left(s\right)}{P\left(f\right)}\\ \frac{1}{4}=\frac{P\left(s\right)}{1-P\left(s\right)}\\ 4P\left(s\right)+P\left(s\right)=1\\ P\left(s\right)=\frac{1}{5}\end{array}$

Therefore, the probability of hurricane hitting the South Carolina is $\frac{1}{5}$