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

A.

Step-by-step explanation:

Given:

Probability of a hurricane hitting the gulf coast in a year is

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

So,

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:

The probability of the gulf coast getting hit by a hurricane in 3 consecutive years is .

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