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

A.
`(1)/(125)`

Explanation:

Given:

Probability of a hurricane hitting the gulf coast in a year is
`(1)/(5)`

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

So,
`P(E)=(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)=(1)/(5) * (1)/(5)* (1)/(5) =(1)/(125)`

The probability of the gulf coast getting hit by a hurricane in 3 consecutive years is
`(1)/(125)`.