The probability that a certain state will be hit by a major tornado (category F4 or F5) in any single year is \( \frac{1}{5} \). Complete parts (a) through (d) below. a. What is the probability that the state will be hit by a major tornado two years in a row? \( \square \) (Simplify your answer. Round to five decimal places as needed.)

The probability of the state being hit by a major tornado in a single year is \( \frac{1}{5} \). To find the probability of being hit by a major tornado two years in a row, you multiply the probabilities for each year since the events are independent. So, the calculation is: \[ P(\text{hit two years}) = P(\text{hit in year 1}) \times P(\text{hit in year 2}) = \frac{1}{5} \times \frac{1}{5} = \frac{1}{25} = 0.04 \] Thus, the probability that the state will be hit by a major tornado two years in a row is \(0.04000\) when rounded to five decimal places.