Question

The probability that a certain state will be hit by a major tornado (category F4 or F5) in any single year is 1/18. Use this information to answer the questions below
(A) What is the probability that the state will be hit by a major tornado two years in a row?​

Answer 1

Answer:

The probability that the state will be hit by a major tornado two years in a row is 0.00309.

Step-by-step explanation:

Independent events are those events that are not affected by the occurrence (or no occurrence) of other events. These events do not affect the probability of another even taking place.

For example, the events of winning a lottery and being late for work are independent or the events of taking a cab home and making dinner are also independent.

In this case we are provided that the probability that a certain state will be hit by a major tornado is, $\frac{1}{18}$.

Consider the event that a state was hit by the major tornado.

The event of the major tornado hitting a state a second time next year is not dependent on the fact that it had already hit that state last year.

The two events are independent.

Compute the probability that the state will be hit by a major tornado two years in a row as follows:

P (Tornado hits twice) = P (Tornado in 1st year) × P (Tornado in 2nd year)

                                     $=\frac{1}{18}\times \frac{1}{18}\\=0.00309$

Thus, the probability that the state will be hit by a major tornado two years in a row is 0.00309.