Question

If the probability of a hurricane hitting the gulf coast in any given year is 1/5, what is the probability of the gulf coast getting hit by a hurricane in 3 consecutive years?
A
1/125
B
3/5
C
3/125
D
1/25

Answer 1

Answer:

A. $\frac{1}{125}$

Step-by-step explanation:

Given:

Probability of a hurricane hitting the gulf coast in a year is $\frac{1}{5}$

Let E be the event for the hurricane hitting the gulf coast in a year.

So, $P(E)=\frac{1}{5}$

Therefore, probability of hitting the gulf coast for 3 consecutive years will be the product of the probabilities for each  year and is given as:

$P(E\cap E\cap E)=\frac{1}{5} \times \frac{1}{5}\times \frac{1}{5} =\frac{1}{125}$

The probability of the gulf coast getting hit by a hurricane in 3 consecutive years is $\frac{1}{125}$.